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Finding the Fourth Proportional to 9,588.75, 13,238.54 and 7,346.46

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Solution

The fourth proportional to 9,588.75, 13,238.54 and 7,346.46 is: 10,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.75 : 13,238.54 = 7,346.46 : x
  2. Step 2: Convert to fraction form
    9,588.75/13,238.54 = 7,346.46/x
  3. Step 3: Cross multiply
    9,588.75x = 13,238.54 × 7,346.46
  4. Step 4: Simplify right side
    9,588.75x = 97,256,367.84
  5. Step 5: Solve for x
    x = 97,256,367.84/9,588.75
  6. Step 6: Final answer
    x = 10,142.76

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Half scale
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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.