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Finding the Fourth Proportional to 7,854.34, 10,839.60 and 4,498.21

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Solution

The fourth proportional to 7,854.34, 10,839.60 and 4,498.21 is: 6,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.34 : 10,839.60 = 4,498.21 : x
  2. Step 2: Convert to fraction form
    7,854.34/10,839.60 = 4,498.21/x
  3. Step 3: Cross multiply
    7,854.34x = 10,839.60 × 4,498.21
  4. Step 4: Simplify right side
    7,854.34x = 48,758,797.12
  5. Step 5: Solve for x
    x = 48,758,797.12/7,854.34
  6. Step 6: Final answer
    x = 6,207.88

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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.