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Finding the Fourth Proportional to 6,472.74, 9,710.01 and 2,088.78

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Solution

The fourth proportional to 6,472.74, 9,710.01 and 2,088.78 is: 3,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.74 : 9,710.01 = 2,088.78 : x
  2. Step 2: Convert to fraction form
    6,472.74/9,710.01 = 2,088.78/x
  3. Step 3: Cross multiply
    6,472.74x = 9,710.01 × 2,088.78
  4. Step 4: Simplify right side
    6,472.74x = 20,282,074.69
  5. Step 5: Solve for x
    x = 20,282,074.69/6,472.74
  6. Step 6: Final answer
    x = 3,133.46

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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.