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Finding the Fourth Proportional to 6,898.66, 9,524.10 and 5,280.52

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Solution

The fourth proportional to 6,898.66, 9,524.10 and 5,280.52 is: 7,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.66 : 9,524.10 = 5,280.52 : x
  2. Step 2: Convert to fraction form
    6,898.66/9,524.10 = 5,280.52/x
  3. Step 3: Cross multiply
    6,898.66x = 9,524.10 × 5,280.52
  4. Step 4: Simplify right side
    6,898.66x = 50,292,200.53
  5. Step 5: Solve for x
    x = 50,292,200.53/6,898.66
  6. Step 6: Final answer
    x = 7,290.14

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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.