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Finding the Fourth Proportional to 7,302.70, 10,962.15 and 4,022.20

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Solution

The fourth proportional to 7,302.70, 10,962.15 and 4,022.20 is: 6,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.70 : 10,962.15 = 4,022.20 : x
  2. Step 2: Convert to fraction form
    7,302.70/10,962.15 = 4,022.20/x
  3. Step 3: Cross multiply
    7,302.70x = 10,962.15 × 4,022.20
  4. Step 4: Simplify right side
    7,302.70x = 44,091,959.73
  5. Step 5: Solve for x
    x = 44,091,959.73/7,302.70
  6. Step 6: Final answer
    x = 6,037.76

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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.