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Finding the Fourth Proportional to 9,102.71, 13,654.07 and 2,528.90

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Solution

The fourth proportional to 9,102.71, 13,654.07 and 2,528.90 is: 3,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.71 : 13,654.07 = 2,528.90 : x
  2. Step 2: Convert to fraction form
    9,102.71/13,654.07 = 2,528.90/x
  3. Step 3: Cross multiply
    9,102.71x = 13,654.07 × 2,528.90
  4. Step 4: Simplify right side
    9,102.71x = 34,529,777.62
  5. Step 5: Solve for x
    x = 34,529,777.62/9,102.71
  6. Step 6: Final answer
    x = 3,793.35

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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.