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Finding the Fourth Proportional to 5,734.46, 7,915.79 and 5,576.48

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Solution

The fourth proportional to 5,734.46, 7,915.79 and 5,576.48 is: 7,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.46 : 7,915.79 = 5,576.48 : x
  2. Step 2: Convert to fraction form
    5,734.46/7,915.79 = 5,576.48/x
  3. Step 3: Cross multiply
    5,734.46x = 7,915.79 × 5,576.48
  4. Step 4: Simplify right side
    5,734.46x = 44,142,248.67
  5. Step 5: Solve for x
    x = 44,142,248.67/5,734.46
  6. Step 6: Final answer
    x = 7,697.71

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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.