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Finding the Fourth Proportional to 7,103.12, 9,799.29 and 4,117.86

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Solution

The fourth proportional to 7,103.12, 9,799.29 and 4,117.86 is: 5,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.12 : 9,799.29 = 4,117.86 : x
  2. Step 2: Convert to fraction form
    7,103.12/9,799.29 = 4,117.86/x
  3. Step 3: Cross multiply
    7,103.12x = 9,799.29 × 4,117.86
  4. Step 4: Simplify right side
    7,103.12x = 40,352,104.32
  5. Step 5: Solve for x
    x = 40,352,104.32/7,103.12
  6. Step 6: Final answer
    x = 5,680.90

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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.