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Finding the Fourth Proportional to 18,493.92, 27,713.54 and 9,702.18

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Solution

The fourth proportional to 18,493.92, 27,713.54 and 9,702.18 is: 14,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.92 : 27,713.54 = 9,702.18 : x
  2. Step 2: Convert to fraction form
    18,493.92/27,713.54 = 9,702.18/x
  3. Step 3: Cross multiply
    18,493.92x = 27,713.54 × 9,702.18
  4. Step 4: Simplify right side
    18,493.92x = 268,881,777.77
  5. Step 5: Solve for x
    x = 268,881,777.77/18,493.92
  6. Step 6: Final answer
    x = 14,538.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.