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Finding the Fourth Proportional to 7,654.92, 11,475.72 and 6,492.48

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Solution

The fourth proportional to 7,654.92, 11,475.72 and 6,492.48 is: 9,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.92 : 11,475.72 = 6,492.48 : x
  2. Step 2: Convert to fraction form
    7,654.92/11,475.72 = 6,492.48/x
  3. Step 3: Cross multiply
    7,654.92x = 11,475.72 × 6,492.48
  4. Step 4: Simplify right side
    7,654.92x = 74,505,882.59
  5. Step 5: Solve for x
    x = 74,505,882.59/7,654.92
  6. Step 6: Final answer
    x = 9,733.07

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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.