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Finding the Fourth Proportional to 7,031.22, 9,711.05 and 4,789.20

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Solution

The fourth proportional to 7,031.22, 9,711.05 and 4,789.20 is: 6,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.22 : 9,711.05 = 4,789.20 : x
  2. Step 2: Convert to fraction form
    7,031.22/9,711.05 = 4,789.20/x
  3. Step 3: Cross multiply
    7,031.22x = 9,711.05 × 4,789.20
  4. Step 4: Simplify right side
    7,031.22x = 46,508,160.66
  5. Step 5: Solve for x
    x = 46,508,160.66/7,031.22
  6. Step 6: Final answer
    x = 6,614.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.