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Finding the Fourth Proportional to 7,576.34, 10,458.72 and 5,230.17

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Solution

The fourth proportional to 7,576.34, 10,458.72 and 5,230.17 is: 7,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.34 : 10,458.72 = 5,230.17 : x
  2. Step 2: Convert to fraction form
    7,576.34/10,458.72 = 5,230.17/x
  3. Step 3: Cross multiply
    7,576.34x = 10,458.72 × 5,230.17
  4. Step 4: Simplify right side
    7,576.34x = 54,700,883.58
  5. Step 5: Solve for x
    x = 54,700,883.58/7,576.34
  6. Step 6: Final answer
    x = 7,219.97

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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.