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Finding the Fourth Proportional to 8,698.11, 13,047.71 and 2,458.61

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Solution

The fourth proportional to 8,698.11, 13,047.71 and 2,458.61 is: 3,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.11 : 13,047.71 = 2,458.61 : x
  2. Step 2: Convert to fraction form
    8,698.11/13,047.71 = 2,458.61/x
  3. Step 3: Cross multiply
    8,698.11x = 13,047.71 × 2,458.61
  4. Step 4: Simplify right side
    8,698.11x = 32,079,171.19
  5. Step 5: Solve for x
    x = 32,079,171.19/8,698.11
  6. Step 6: Final answer
    x = 3,688.06

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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.