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Finding the Fourth Proportional to 7,294.16, 10,066.12 and 3,982.16

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Solution

The fourth proportional to 7,294.16, 10,066.12 and 3,982.16 is: 5,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.16 : 10,066.12 = 3,982.16 : x
  2. Step 2: Convert to fraction form
    7,294.16/10,066.12 = 3,982.16/x
  3. Step 3: Cross multiply
    7,294.16x = 10,066.12 × 3,982.16
  4. Step 4: Simplify right side
    7,294.16x = 40,084,900.42
  5. Step 5: Solve for x
    x = 40,084,900.42/7,294.16
  6. Step 6: Final answer
    x = 5,495.48

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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.