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Finding the Fourth Proportional to 9,962.64, 14,902.90 and 8,187.68

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Solution

The fourth proportional to 9,962.64, 14,902.90 and 8,187.68 is: 12,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.64 : 14,902.90 = 8,187.68 : x
  2. Step 2: Convert to fraction form
    9,962.64/14,902.90 = 8,187.68/x
  3. Step 3: Cross multiply
    9,962.64x = 14,902.90 × 8,187.68
  4. Step 4: Simplify right side
    9,962.64x = 122,020,176.27
  5. Step 5: Solve for x
    x = 122,020,176.27/9,962.64
  6. Step 6: Final answer
    x = 12,247.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.