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Finding the Fourth Proportional to 6,488.59, 9,714.52 and 5,044.63

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Solution

The fourth proportional to 6,488.59, 9,714.52 and 5,044.63 is: 7,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.59 : 9,714.52 = 5,044.63 : x
  2. Step 2: Convert to fraction form
    6,488.59/9,714.52 = 5,044.63/x
  3. Step 3: Cross multiply
    6,488.59x = 9,714.52 × 5,044.63
  4. Step 4: Simplify right side
    6,488.59x = 49,006,159.03
  5. Step 5: Solve for x
    x = 49,006,159.03/6,488.59
  6. Step 6: Final answer
    x = 7,552.67

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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.