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Finding the Fourth Proportional to 6,463.76, 9,701.16 and 2,570.90

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Solution

The fourth proportional to 6,463.76, 9,701.16 and 2,570.90 is: 3,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.76 : 9,701.16 = 2,570.90 : x
  2. Step 2: Convert to fraction form
    6,463.76/9,701.16 = 2,570.90/x
  3. Step 3: Cross multiply
    6,463.76x = 9,701.16 × 2,570.90
  4. Step 4: Simplify right side
    6,463.76x = 24,940,712.24
  5. Step 5: Solve for x
    x = 24,940,712.24/6,463.76
  6. Step 6: Final answer
    x = 3,858.55

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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.