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Finding the Fourth Proportional to 6,587.61, 9,834.45 and 6,356.89

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Solution

The fourth proportional to 6,587.61, 9,834.45 and 6,356.89 is: 9,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.61 : 9,834.45 = 6,356.89 : x
  2. Step 2: Convert to fraction form
    6,587.61/9,834.45 = 6,356.89/x
  3. Step 3: Cross multiply
    6,587.61x = 9,834.45 × 6,356.89
  4. Step 4: Simplify right side
    6,587.61x = 62,516,516.86
  5. Step 5: Solve for x
    x = 62,516,516.86/6,587.61
  6. Step 6: Final answer
    x = 9,490.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.