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Finding the Fourth Proportional to 6,302.44, 9,453.66 and 2,407.24

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Solution

The fourth proportional to 6,302.44, 9,453.66 and 2,407.24 is: 3,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.44 : 9,453.66 = 2,407.24 : x
  2. Step 2: Convert to fraction form
    6,302.44/9,453.66 = 2,407.24/x
  3. Step 3: Cross multiply
    6,302.44x = 9,453.66 × 2,407.24
  4. Step 4: Simplify right side
    6,302.44x = 22,757,228.50
  5. Step 5: Solve for x
    x = 22,757,228.50/6,302.44
  6. Step 6: Final answer
    x = 3,610.86

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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.