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Finding the Fourth Proportional to 13,714.73, 18,929.52 and 9,737.09

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Solution

The fourth proportional to 13,714.73, 18,929.52 and 9,737.09 is: 13,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.73 : 18,929.52 = 9,737.09 : x
  2. Step 2: Convert to fraction form
    13,714.73/18,929.52 = 9,737.09/x
  3. Step 3: Cross multiply
    13,714.73x = 18,929.52 × 9,737.09
  4. Step 4: Simplify right side
    13,714.73x = 184,318,345.25
  5. Step 5: Solve for x
    x = 184,318,345.25/13,714.73
  6. Step 6: Final answer
    x = 13,439.45

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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.