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Finding the Fourth Proportional to 6,305.76, 9,460.74 and 2,609.76

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Solution

The fourth proportional to 6,305.76, 9,460.74 and 2,609.76 is: 3,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.76 : 9,460.74 = 2,609.76 : x
  2. Step 2: Convert to fraction form
    6,305.76/9,460.74 = 2,609.76/x
  3. Step 3: Cross multiply
    6,305.76x = 9,460.74 × 2,609.76
  4. Step 4: Simplify right side
    6,305.76x = 24,690,260.82
  5. Step 5: Solve for x
    x = 24,690,260.82/6,305.76
  6. Step 6: Final answer
    x = 3,915.51

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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.