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Finding the Fourth Proportional to 9,224.60, 13,836.90 and 8,511.80

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Solution

The fourth proportional to 9,224.60, 13,836.90 and 8,511.80 is: 12,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.60 : 13,836.90 = 8,511.80 : x
  2. Step 2: Convert to fraction form
    9,224.60/13,836.90 = 8,511.80/x
  3. Step 3: Cross multiply
    9,224.60x = 13,836.90 × 8,511.80
  4. Step 4: Simplify right side
    9,224.60x = 117,776,925.42
  5. Step 5: Solve for x
    x = 117,776,925.42/9,224.60
  6. Step 6: Final answer
    x = 12,767.70

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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.