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Finding the Fourth Proportional to 6,984.97, 9,641.30 and 4,154.34

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Solution

The fourth proportional to 6,984.97, 9,641.30 and 4,154.34 is: 5,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.97 : 9,641.30 = 4,154.34 : x
  2. Step 2: Convert to fraction form
    6,984.97/9,641.30 = 4,154.34/x
  3. Step 3: Cross multiply
    6,984.97x = 9,641.30 × 4,154.34
  4. Step 4: Simplify right side
    6,984.97x = 40,053,248.63
  5. Step 5: Solve for x
    x = 40,053,248.63/6,984.97
  6. Step 6: Final answer
    x = 5,734.21

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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.