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Finding the Fourth Proportional to 12,367, 18,545.64 and 4,570.48

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Solution

The fourth proportional to 12,367, 18,545.64 and 4,570.48 is: 6,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367 : 18,545.64 = 4,570.48 : x
  2. Step 2: Convert to fraction form
    12,367/18,545.64 = 4,570.48/x
  3. Step 3: Cross multiply
    12,367x = 18,545.64 × 4,570.48
  4. Step 4: Simplify right side
    12,367x = 84,762,476.71
  5. Step 5: Solve for x
    x = 84,762,476.71/12,367
  6. Step 6: Final answer
    x = 6,853.92

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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.