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Finding the Fourth Proportional to 7,049.76, 9,723.05 and 4,532.13

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Solution

The fourth proportional to 7,049.76, 9,723.05 and 4,532.13 is: 6,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.76 : 9,723.05 = 4,532.13 : x
  2. Step 2: Convert to fraction form
    7,049.76/9,723.05 = 4,532.13/x
  3. Step 3: Cross multiply
    7,049.76x = 9,723.05 × 4,532.13
  4. Step 4: Simplify right side
    7,049.76x = 44,066,103.94
  5. Step 5: Solve for x
    x = 44,066,103.94/7,049.76
  6. Step 6: Final answer
    x = 6,250.72

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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.