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Finding the Fourth Proportional to 6,152.78, 9,229.17 and 1,535.78

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Solution

The fourth proportional to 6,152.78, 9,229.17 and 1,535.78 is: 2,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.78 : 9,229.17 = 1,535.78 : x
  2. Step 2: Convert to fraction form
    6,152.78/9,229.17 = 1,535.78/x
  3. Step 3: Cross multiply
    6,152.78x = 9,229.17 × 1,535.78
  4. Step 4: Simplify right side
    6,152.78x = 14,173,974.70
  5. Step 5: Solve for x
    x = 14,173,974.70/6,152.78
  6. Step 6: Final answer
    x = 2,303.67

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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.