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Finding the Fourth Proportional to 7,066.65, 9,752 and 4,082.48

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Solution

The fourth proportional to 7,066.65, 9,752 and 4,082.48 is: 5,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.65 : 9,752 = 4,082.48 : x
  2. Step 2: Convert to fraction form
    7,066.65/9,752 = 4,082.48/x
  3. Step 3: Cross multiply
    7,066.65x = 9,752 × 4,082.48
  4. Step 4: Simplify right side
    7,066.65x = 39,812,344.96
  5. Step 5: Solve for x
    x = 39,812,344.96/7,066.65
  6. Step 6: Final answer
    x = 5,633.84

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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.