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Finding the Fourth Proportional to 6,473.76, 9,708.58 and 4,294.04

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Solution

The fourth proportional to 6,473.76, 9,708.58 and 4,294.04 is: 6,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.76 : 9,708.58 = 4,294.04 : x
  2. Step 2: Convert to fraction form
    6,473.76/9,708.58 = 4,294.04/x
  3. Step 3: Cross multiply
    6,473.76x = 9,708.58 × 4,294.04
  4. Step 4: Simplify right side
    6,473.76x = 41,689,030.86
  5. Step 5: Solve for x
    x = 41,689,030.86/6,473.76
  6. Step 6: Final answer
    x = 6,439.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.