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Finding the Fourth Proportional to 6,575.46, 9,866.51 and 2,877.71

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Solution

The fourth proportional to 6,575.46, 9,866.51 and 2,877.71 is: 4,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.46 : 9,866.51 = 2,877.71 : x
  2. Step 2: Convert to fraction form
    6,575.46/9,866.51 = 2,877.71/x
  3. Step 3: Cross multiply
    6,575.46x = 9,866.51 × 2,877.71
  4. Step 4: Simplify right side
    6,575.46x = 28,392,890.77
  5. Step 5: Solve for x
    x = 28,392,890.77/6,575.46
  6. Step 6: Final answer
    x = 4,318.01

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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.