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Finding the Fourth Proportional to 7,003.14, 9,663.72 and 4,480.80

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Solution

The fourth proportional to 7,003.14, 9,663.72 and 4,480.80 is: 6,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.14 : 9,663.72 = 4,480.80 : x
  2. Step 2: Convert to fraction form
    7,003.14/9,663.72 = 4,480.80/x
  3. Step 3: Cross multiply
    7,003.14x = 9,663.72 × 4,480.80
  4. Step 4: Simplify right side
    7,003.14x = 43,301,196.58
  5. Step 5: Solve for x
    x = 43,301,196.58/7,003.14
  6. Step 6: Final answer
    x = 6,183.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.