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Finding the Fourth Proportional to 6,656.48, 9,981.82 and 3,535.80

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Solution

The fourth proportional to 6,656.48, 9,981.82 and 3,535.80 is: 5,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.48 : 9,981.82 = 3,535.80 : x
  2. Step 2: Convert to fraction form
    6,656.48/9,981.82 = 3,535.80/x
  3. Step 3: Cross multiply
    6,656.48x = 9,981.82 × 3,535.80
  4. Step 4: Simplify right side
    6,656.48x = 35,293,719.16
  5. Step 5: Solve for x
    x = 35,293,719.16/6,656.48
  6. Step 6: Final answer
    x = 5,302.16

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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.