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Finding the Fourth Proportional to 6,646.16, 9,972.12 and 3,564.56

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Solution

The fourth proportional to 6,646.16, 9,972.12 and 3,564.56 is: 5,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.16 : 9,972.12 = 3,564.56 : x
  2. Step 2: Convert to fraction form
    6,646.16/9,972.12 = 3,564.56/x
  3. Step 3: Cross multiply
    6,646.16x = 9,972.12 × 3,564.56
  4. Step 4: Simplify right side
    6,646.16x = 35,546,220.07
  5. Step 5: Solve for x
    x = 35,546,220.07/6,646.16
  6. Step 6: Final answer
    x = 5,348.38

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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.