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Finding the Fourth Proportional to 10,057.72, 13,880.08 and 5,581.16

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Solution

The fourth proportional to 10,057.72, 13,880.08 and 5,581.16 is: 7,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.72 : 13,880.08 = 5,581.16 : x
  2. Step 2: Convert to fraction form
    10,057.72/13,880.08 = 5,581.16/x
  3. Step 3: Cross multiply
    10,057.72x = 13,880.08 × 5,581.16
  4. Step 4: Simplify right side
    10,057.72x = 77,466,947.29
  5. Step 5: Solve for x
    x = 77,466,947.29/10,057.72
  6. Step 6: Final answer
    x = 7,702.24

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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.