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Finding the Fourth Proportional to 12,614.76, 17,407.80 and 7,309.44

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Solution

The fourth proportional to 12,614.76, 17,407.80 and 7,309.44 is: 10,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.76 : 17,407.80 = 7,309.44 : x
  2. Step 2: Convert to fraction form
    12,614.76/17,407.80 = 7,309.44/x
  3. Step 3: Cross multiply
    12,614.76x = 17,407.80 × 7,309.44
  4. Step 4: Simplify right side
    12,614.76x = 127,241,269.63
  5. Step 5: Solve for x
    x = 127,241,269.63/12,614.76
  6. Step 6: Final answer
    x = 10,086.70

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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.