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Finding the Fourth Proportional to 6,149.28, 9,223.92 and 1,532.28

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Solution

The fourth proportional to 6,149.28, 9,223.92 and 1,532.28 is: 2,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.28 : 9,223.92 = 1,532.28 : x
  2. Step 2: Convert to fraction form
    6,149.28/9,223.92 = 1,532.28/x
  3. Step 3: Cross multiply
    6,149.28x = 9,223.92 × 1,532.28
  4. Step 4: Simplify right side
    6,149.28x = 14,133,628.14
  5. Step 5: Solve for x
    x = 14,133,628.14/6,149.28
  6. Step 6: Final answer
    x = 2,298.42

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Double scale
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Similar ratio
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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.