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Finding the Fourth Proportional to 6,664.38, 10,006.84 and 5,637.87

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Solution

The fourth proportional to 6,664.38, 10,006.84 and 5,637.87 is: 8,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.38 : 10,006.84 = 5,637.87 : x
  2. Step 2: Convert to fraction form
    6,664.38/10,006.84 = 5,637.87/x
  3. Step 3: Cross multiply
    6,664.38x = 10,006.84 × 5,637.87
  4. Step 4: Simplify right side
    6,664.38x = 56,417,270.08
  5. Step 5: Solve for x
    x = 56,417,270.08/6,664.38
  6. Step 6: Final answer
    x = 8,465.50

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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.