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Finding the Fourth Proportional to 13,880.52, 19,155.14 and 7,592.90

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Solution

The fourth proportional to 13,880.52, 19,155.14 and 7,592.90 is: 10,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.52 : 19,155.14 = 7,592.90 : x
  2. Step 2: Convert to fraction form
    13,880.52/19,155.14 = 7,592.90/x
  3. Step 3: Cross multiply
    13,880.52x = 19,155.14 × 7,592.90
  4. Step 4: Simplify right side
    13,880.52x = 145,443,062.51
  5. Step 5: Solve for x
    x = 145,443,062.51/13,880.52
  6. Step 6: Final answer
    x = 10,478.21

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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.