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Finding the Fourth Proportional to 6,646.48, 9,968.92 and 3,532.84

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Solution

The fourth proportional to 6,646.48, 9,968.92 and 3,532.84 is: 5,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.48 : 9,968.92 = 3,532.84 : x
  2. Step 2: Convert to fraction form
    6,646.48/9,968.92 = 3,532.84/x
  3. Step 3: Cross multiply
    6,646.48x = 9,968.92 × 3,532.84
  4. Step 4: Simplify right side
    6,646.48x = 35,218,599.33
  5. Step 5: Solve for x
    x = 35,218,599.33/6,646.48
  6. Step 6: Final answer
    x = 5,298.83

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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.