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Finding the Fourth Proportional to 8,813.69, 12,166.80 and 5,631.17

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Solution

The fourth proportional to 8,813.69, 12,166.80 and 5,631.17 is: 7,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.69 : 12,166.80 = 5,631.17 : x
  2. Step 2: Convert to fraction form
    8,813.69/12,166.80 = 5,631.17/x
  3. Step 3: Cross multiply
    8,813.69x = 12,166.80 × 5,631.17
  4. Step 4: Simplify right side
    8,813.69x = 68,513,319.16
  5. Step 5: Solve for x
    x = 68,513,319.16/8,813.69
  6. Step 6: Final answer
    x = 7,773.51

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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.