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Finding the Fourth Proportional to 12,373.80, 17,077.86 and 9,208.14

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Solution

The fourth proportional to 12,373.80, 17,077.86 and 9,208.14 is: 12,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.80 : 17,077.86 = 9,208.14 : x
  2. Step 2: Convert to fraction form
    12,373.80/17,077.86 = 9,208.14/x
  3. Step 3: Cross multiply
    12,373.80x = 17,077.86 × 9,208.14
  4. Step 4: Simplify right side
    12,373.80x = 157,255,325.78
  5. Step 5: Solve for x
    x = 157,255,325.78/12,373.80
  6. Step 6: Final answer
    x = 12,708.73

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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.