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Finding the Fourth Proportional to 9,591.66, 13,236.05 and 5,342.49

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Solution

The fourth proportional to 9,591.66, 13,236.05 and 5,342.49 is: 7,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.66 : 13,236.05 = 5,342.49 : x
  2. Step 2: Convert to fraction form
    9,591.66/13,236.05 = 5,342.49/x
  3. Step 3: Cross multiply
    9,591.66x = 13,236.05 × 5,342.49
  4. Step 4: Simplify right side
    9,591.66x = 70,713,478.12
  5. Step 5: Solve for x
    x = 70,713,478.12/9,591.66
  6. Step 6: Final answer
    x = 7,372.39

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Half scale
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Double scale
Find fourth proportional to 9,592.66, 13,237.43 and 5,343.49
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.