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Finding the Fourth Proportional to 7,613.60, 10,500.98 and 6,553.17

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Solution

The fourth proportional to 7,613.60, 10,500.98 and 6,553.17 is: 9,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.60 : 10,500.98 = 6,553.17 : x
  2. Step 2: Convert to fraction form
    7,613.60/10,500.98 = 6,553.17/x
  3. Step 3: Cross multiply
    7,613.60x = 10,500.98 × 6,553.17
  4. Step 4: Simplify right side
    7,613.60x = 68,814,674.34
  5. Step 5: Solve for x
    x = 68,814,674.34/7,613.60
  6. Step 6: Final answer
    x = 9,038.39

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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.