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Finding the Fourth Proportional to 8,177.80, 12,281.10 and 6,333.40

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Solution

The fourth proportional to 8,177.80, 12,281.10 and 6,333.40 is: 9,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.80 : 12,281.10 = 6,333.40 : x
  2. Step 2: Convert to fraction form
    8,177.80/12,281.10 = 6,333.40/x
  3. Step 3: Cross multiply
    8,177.80x = 12,281.10 × 6,333.40
  4. Step 4: Simplify right side
    8,177.80x = 77,781,118.74
  5. Step 5: Solve for x
    x = 77,781,118.74/8,177.80
  6. Step 6: Final answer
    x = 9,511.25

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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.