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Finding the Fourth Proportional to 7,003.68, 9,660.48 and 4,209.18

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Solution

The fourth proportional to 7,003.68, 9,660.48 and 4,209.18 is: 5,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.68 : 9,660.48 = 4,209.18 : x
  2. Step 2: Convert to fraction form
    7,003.68/9,660.48 = 4,209.18/x
  3. Step 3: Cross multiply
    7,003.68x = 9,660.48 × 4,209.18
  4. Step 4: Simplify right side
    7,003.68x = 40,662,699.21
  5. Step 5: Solve for x
    x = 40,662,699.21/7,003.68
  6. Step 6: Final answer
    x = 5,805.90

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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.