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Finding the Fourth Proportional to 12,458.40, 17,191.92 and 7,743.04

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Solution

The fourth proportional to 12,458.40, 17,191.92 and 7,743.04 is: 10,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.40 : 17,191.92 = 7,743.04 : x
  2. Step 2: Convert to fraction form
    12,458.40/17,191.92 = 7,743.04/x
  3. Step 3: Cross multiply
    12,458.40x = 17,191.92 × 7,743.04
  4. Step 4: Simplify right side
    12,458.40x = 133,117,724.24
  5. Step 5: Solve for x
    x = 133,117,724.24/12,458.40
  6. Step 6: Final answer
    x = 10,684.98

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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.