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Finding the Fourth Proportional to 12,585.90, 17,367.12 and 7,282.38

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Solution

The fourth proportional to 12,585.90, 17,367.12 and 7,282.38 is: 10,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.90 : 17,367.12 = 7,282.38 : x
  2. Step 2: Convert to fraction form
    12,585.90/17,367.12 = 7,282.38/x
  3. Step 3: Cross multiply
    12,585.90x = 17,367.12 × 7,282.38
  4. Step 4: Simplify right side
    12,585.90x = 126,473,967.35
  5. Step 5: Solve for x
    x = 126,473,967.35/12,585.90
  6. Step 6: Final answer
    x = 10,048.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.