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Finding the Fourth Proportional to 7,132.96, 10,699.49 and 2,202.49

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Solution

The fourth proportional to 7,132.96, 10,699.49 and 2,202.49 is: 3,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.96 : 10,699.49 = 2,202.49 : x
  2. Step 2: Convert to fraction form
    7,132.96/10,699.49 = 2,202.49/x
  3. Step 3: Cross multiply
    7,132.96x = 10,699.49 × 2,202.49
  4. Step 4: Simplify right side
    7,132.96x = 23,565,538.61
  5. Step 5: Solve for x
    x = 23,565,538.61/7,132.96
  6. Step 6: Final answer
    x = 3,303.75

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Double scale
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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.