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Finding the Fourth Proportional to 12,627.74, 17,425.85 and 6,962.40

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Solution

The fourth proportional to 12,627.74, 17,425.85 and 6,962.40 is: 9,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.74 : 17,425.85 = 6,962.40 : x
  2. Step 2: Convert to fraction form
    12,627.74/17,425.85 = 6,962.40/x
  3. Step 3: Cross multiply
    12,627.74x = 17,425.85 × 6,962.40
  4. Step 4: Simplify right side
    12,627.74x = 121,325,755.45
  5. Step 5: Solve for x
    x = 121,325,755.45/12,627.74
  6. Step 6: Final answer
    x = 9,607.87

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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.