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Finding the Fourth Proportional to 34,654.08, 51,981 and 8,358.82

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Solution

The fourth proportional to 34,654.08, 51,981 and 8,358.82 is: 12,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.08 : 51,981 = 8,358.82 : x
  2. Step 2: Convert to fraction form
    34,654.08/51,981 = 8,358.82/x
  3. Step 3: Cross multiply
    34,654.08x = 51,981 × 8,358.82
  4. Step 4: Simplify right side
    34,654.08x = 434,499,822.42
  5. Step 5: Solve for x
    x = 434,499,822.42/34,654.08
  6. Step 6: Final answer
    x = 12,538.20

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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.