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Finding the Fourth Proportional to 7,246.98, 10,870.50 and 2,565.92

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Solution

The fourth proportional to 7,246.98, 10,870.50 and 2,565.92 is: 3,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.98 : 10,870.50 = 2,565.92 : x
  2. Step 2: Convert to fraction form
    7,246.98/10,870.50 = 2,565.92/x
  3. Step 3: Cross multiply
    7,246.98x = 10,870.50 × 2,565.92
  4. Step 4: Simplify right side
    7,246.98x = 27,892,833.36
  5. Step 5: Solve for x
    x = 27,892,833.36/7,246.98
  6. Step 6: Final answer
    x = 3,848.89

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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.