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Finding the Fourth Proportional to 6,263.65, 9,395.47 and 2,565.89

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Solution

The fourth proportional to 6,263.65, 9,395.47 and 2,565.89 is: 3,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.65 : 9,395.47 = 2,565.89 : x
  2. Step 2: Convert to fraction form
    6,263.65/9,395.47 = 2,565.89/x
  3. Step 3: Cross multiply
    6,263.65x = 9,395.47 × 2,565.89
  4. Step 4: Simplify right side
    6,263.65x = 24,107,733.98
  5. Step 5: Solve for x
    x = 24,107,733.98/6,263.65
  6. Step 6: Final answer
    x = 3,848.83

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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.