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Finding the Fourth Proportional to 6,666.12, 9,984.60 and 4,061.16

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Solution

The fourth proportional to 6,666.12, 9,984.60 and 4,061.16 is: 6,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.12 : 9,984.60 = 4,061.16 : x
  2. Step 2: Convert to fraction form
    6,666.12/9,984.60 = 4,061.16/x
  3. Step 3: Cross multiply
    6,666.12x = 9,984.60 × 4,061.16
  4. Step 4: Simplify right side
    6,666.12x = 40,549,058.14
  5. Step 5: Solve for x
    x = 40,549,058.14/6,666.12
  6. Step 6: Final answer
    x = 6,082.86

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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.