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Finding the Fourth Proportional to 7,294.40, 10,949.70 and 5,658.20

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Solution

The fourth proportional to 7,294.40, 10,949.70 and 5,658.20 is: 8,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.40 : 10,949.70 = 5,658.20 : x
  2. Step 2: Convert to fraction form
    7,294.40/10,949.70 = 5,658.20/x
  3. Step 3: Cross multiply
    7,294.40x = 10,949.70 × 5,658.20
  4. Step 4: Simplify right side
    7,294.40x = 61,955,592.54
  5. Step 5: Solve for x
    x = 61,955,592.54/7,294.40
  6. Step 6: Final answer
    x = 8,493.58

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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.