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Finding the Fourth Proportional to 4,713.68, 7,071.48 and 2,404.88

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Solution

The fourth proportional to 4,713.68, 7,071.48 and 2,404.88 is: 3,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.68 : 7,071.48 = 2,404.88 : x
  2. Step 2: Convert to fraction form
    4,713.68/7,071.48 = 2,404.88/x
  3. Step 3: Cross multiply
    4,713.68x = 7,071.48 × 2,404.88
  4. Step 4: Simplify right side
    4,713.68x = 17,006,060.82
  5. Step 5: Solve for x
    x = 17,006,060.82/4,713.68
  6. Step 6: Final answer
    x = 3,607.81

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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.