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Finding the Fourth Proportional to 12,148.80, 16,765.79 and 6,844.11

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Solution

The fourth proportional to 12,148.80, 16,765.79 and 6,844.11 is: 9,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.80 : 16,765.79 = 6,844.11 : x
  2. Step 2: Convert to fraction form
    12,148.80/16,765.79 = 6,844.11/x
  3. Step 3: Cross multiply
    12,148.80x = 16,765.79 × 6,844.11
  4. Step 4: Simplify right side
    12,148.80x = 114,746,876.78
  5. Step 5: Solve for x
    x = 114,746,876.78/12,148.80
  6. Step 6: Final answer
    x = 9,445.12

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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.