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Finding the Fourth Proportional to 14,397.31, 19,872 and 9,374.08

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Solution

The fourth proportional to 14,397.31, 19,872 and 9,374.08 is: 12,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.31 : 19,872 = 9,374.08 : x
  2. Step 2: Convert to fraction form
    14,397.31/19,872 = 9,374.08/x
  3. Step 3: Cross multiply
    14,397.31x = 19,872 × 9,374.08
  4. Step 4: Simplify right side
    14,397.31x = 186,281,717.76
  5. Step 5: Solve for x
    x = 186,281,717.76/14,397.31
  6. Step 6: Final answer
    x = 12,938.65

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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.