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Finding the Fourth Proportional to 7,124.04, 9,822.18 and 4,601.88

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Solution

The fourth proportional to 7,124.04, 9,822.18 and 4,601.88 is: 6,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.04 : 9,822.18 = 4,601.88 : x
  2. Step 2: Convert to fraction form
    7,124.04/9,822.18 = 4,601.88/x
  3. Step 3: Cross multiply
    7,124.04x = 9,822.18 × 4,601.88
  4. Step 4: Simplify right side
    7,124.04x = 45,200,493.70
  5. Step 5: Solve for x
    x = 45,200,493.70/7,124.04
  6. Step 6: Final answer
    x = 6,344.78

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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.