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Finding the Fourth Proportional to 9,648.12, 14,472.18 and 3,803.16

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Solution

The fourth proportional to 9,648.12, 14,472.18 and 3,803.16 is: 5,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.12 : 14,472.18 = 3,803.16 : x
  2. Step 2: Convert to fraction form
    9,648.12/14,472.18 = 3,803.16/x
  3. Step 3: Cross multiply
    9,648.12x = 14,472.18 × 3,803.16
  4. Step 4: Simplify right side
    9,648.12x = 55,040,016.09
  5. Step 5: Solve for x
    x = 55,040,016.09/9,648.12
  6. Step 6: Final answer
    x = 5,704.74

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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.