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Finding the Fourth Proportional to 6,404.64, 9,601.47 and 2,508.15

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Solution

The fourth proportional to 6,404.64, 9,601.47 and 2,508.15 is: 3,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.64 : 9,601.47 = 2,508.15 : x
  2. Step 2: Convert to fraction form
    6,404.64/9,601.47 = 2,508.15/x
  3. Step 3: Cross multiply
    6,404.64x = 9,601.47 × 2,508.15
  4. Step 4: Simplify right side
    6,404.64x = 24,081,926.98
  5. Step 5: Solve for x
    x = 24,081,926.98/6,404.64
  6. Step 6: Final answer
    x = 3,760.08

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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.