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Finding the Fourth Proportional to 9,544.80, 14,317.20 and 9,415.20

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Solution

The fourth proportional to 9,544.80, 14,317.20 and 9,415.20 is: 14,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.80 : 14,317.20 = 9,415.20 : x
  2. Step 2: Convert to fraction form
    9,544.80/14,317.20 = 9,415.20/x
  3. Step 3: Cross multiply
    9,544.80x = 14,317.20 × 9,415.20
  4. Step 4: Simplify right side
    9,544.80x = 134,799,301.44
  5. Step 5: Solve for x
    x = 134,799,301.44/9,544.80
  6. Step 6: Final answer
    x = 14,122.80

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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.