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Finding the Fourth Proportional to 6,962.61, 9,610.69 and 6,224.49

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Solution

The fourth proportional to 6,962.61, 9,610.69 and 6,224.49 is: 8,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.61 : 9,610.69 = 6,224.49 : x
  2. Step 2: Convert to fraction form
    6,962.61/9,610.69 = 6,224.49/x
  3. Step 3: Cross multiply
    6,962.61x = 9,610.69 × 6,224.49
  4. Step 4: Simplify right side
    6,962.61x = 59,821,683.39
  5. Step 5: Solve for x
    x = 59,821,683.39/6,962.61
  6. Step 6: Final answer
    x = 8,591.85

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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.