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Finding the Fourth Proportional to 9,683.46, 14,525.19 and 7,948.44

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Solution

The fourth proportional to 9,683.46, 14,525.19 and 7,948.44 is: 11,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.46 : 14,525.19 = 7,948.44 : x
  2. Step 2: Convert to fraction form
    9,683.46/14,525.19 = 7,948.44/x
  3. Step 3: Cross multiply
    9,683.46x = 14,525.19 × 7,948.44
  4. Step 4: Simplify right side
    9,683.46x = 115,452,601.20
  5. Step 5: Solve for x
    x = 115,452,601.20/9,683.46
  6. Step 6: Final answer
    x = 11,922.66

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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.