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Finding the Fourth Proportional to 6,144.81, 9,217.28 and 1,527.81

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Solution

The fourth proportional to 6,144.81, 9,217.28 and 1,527.81 is: 2,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.81 : 9,217.28 = 1,527.81 : x
  2. Step 2: Convert to fraction form
    6,144.81/9,217.28 = 1,527.81/x
  3. Step 3: Cross multiply
    6,144.81x = 9,217.28 × 1,527.81
  4. Step 4: Simplify right side
    6,144.81x = 14,082,252.56
  5. Step 5: Solve for x
    x = 14,082,252.56/6,144.81
  6. Step 6: Final answer
    x = 2,291.73

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Half scale
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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.