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Finding the Fourth Proportional to 6,463.36, 9,697.12 and 2,565.76

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Solution

The fourth proportional to 6,463.36, 9,697.12 and 2,565.76 is: 3,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.36 : 9,697.12 = 2,565.76 : x
  2. Step 2: Convert to fraction form
    6,463.36/9,697.12 = 2,565.76/x
  3. Step 3: Cross multiply
    6,463.36x = 9,697.12 × 2,565.76
  4. Step 4: Simplify right side
    6,463.36x = 24,880,482.61
  5. Step 5: Solve for x
    x = 24,880,482.61/6,463.36
  6. Step 6: Final answer
    x = 3,849.47

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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.