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Finding the Fourth Proportional to 19,787.71, 27,307.08 and 10,713.17

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Solution

The fourth proportional to 19,787.71, 27,307.08 and 10,713.17 is: 14,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.71 : 27,307.08 = 10,713.17 : x
  2. Step 2: Convert to fraction form
    19,787.71/27,307.08 = 10,713.17/x
  3. Step 3: Cross multiply
    19,787.71x = 27,307.08 × 10,713.17
  4. Step 4: Simplify right side
    19,787.71x = 292,545,253.71
  5. Step 5: Solve for x
    x = 292,545,253.71/19,787.71
  6. Step 6: Final answer
    x = 14,784.19

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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.