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Finding the Fourth Proportional to 7,015.40, 9,674.34 and 5,442.92

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Solution

The fourth proportional to 7,015.40, 9,674.34 and 5,442.92 is: 7,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.40 : 9,674.34 = 5,442.92 : x
  2. Step 2: Convert to fraction form
    7,015.40/9,674.34 = 5,442.92/x
  3. Step 3: Cross multiply
    7,015.40x = 9,674.34 × 5,442.92
  4. Step 4: Simplify right side
    7,015.40x = 52,656,658.67
  5. Step 5: Solve for x
    x = 52,656,658.67/7,015.40
  6. Step 6: Final answer
    x = 7,505.87

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Half scale
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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.