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Finding the Fourth Proportional to 14,008.71, 19,331.13 and 7,721.10

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Solution

The fourth proportional to 14,008.71, 19,331.13 and 7,721.10 is: 10,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.71 : 19,331.13 = 7,721.10 : x
  2. Step 2: Convert to fraction form
    14,008.71/19,331.13 = 7,721.10/x
  3. Step 3: Cross multiply
    14,008.71x = 19,331.13 × 7,721.10
  4. Step 4: Simplify right side
    14,008.71x = 149,257,587.84
  5. Step 5: Solve for x
    x = 149,257,587.84/14,008.71
  6. Step 6: Final answer
    x = 10,654.63

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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.