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Finding the Fourth Proportional to 8,339.47, 11,508.48 and 4,562.63

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Solution

The fourth proportional to 8,339.47, 11,508.48 and 4,562.63 is: 6,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.47 : 11,508.48 = 4,562.63 : x
  2. Step 2: Convert to fraction form
    8,339.47/11,508.48 = 4,562.63/x
  3. Step 3: Cross multiply
    8,339.47x = 11,508.48 × 4,562.63
  4. Step 4: Simplify right side
    8,339.47x = 52,508,921.72
  5. Step 5: Solve for x
    x = 52,508,921.72/8,339.47
  6. Step 6: Final answer
    x = 6,296.43

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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.