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Finding the Fourth Proportional to 9,959.80, 13,743.68 and 5,482.84

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Solution

The fourth proportional to 9,959.80, 13,743.68 and 5,482.84 is: 7,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.80 : 13,743.68 = 5,482.84 : x
  2. Step 2: Convert to fraction form
    9,959.80/13,743.68 = 5,482.84/x
  3. Step 3: Cross multiply
    9,959.80x = 13,743.68 × 5,482.84
  4. Step 4: Simplify right side
    9,959.80x = 75,354,398.45
  5. Step 5: Solve for x
    x = 75,354,398.45/9,959.80
  6. Step 6: Final answer
    x = 7,565.85

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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.