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Finding the Fourth Proportional to 9,588.96, 13,236.48 and 7,493.76

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Solution

The fourth proportional to 9,588.96, 13,236.48 and 7,493.76 is: 10,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.96 : 13,236.48 = 7,493.76 : x
  2. Step 2: Convert to fraction form
    9,588.96/13,236.48 = 7,493.76/x
  3. Step 3: Cross multiply
    9,588.96x = 13,236.48 × 7,493.76
  4. Step 4: Simplify right side
    9,588.96x = 99,191,004.36
  5. Step 5: Solve for x
    x = 99,191,004.36/9,588.96
  6. Step 6: Final answer
    x = 10,344.29

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Half scale
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Double scale
Find fourth proportional to 9,589.96, 13,237.86 and 7,494.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.