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Finding the Fourth Proportional to 6,881.34, 10,268.92 and 6,143.02

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Solution

The fourth proportional to 6,881.34, 10,268.92 and 6,143.02 is: 9,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.34 : 10,268.92 = 6,143.02 : x
  2. Step 2: Convert to fraction form
    6,881.34/10,268.92 = 6,143.02/x
  3. Step 3: Cross multiply
    6,881.34x = 10,268.92 × 6,143.02
  4. Step 4: Simplify right side
    6,881.34x = 63,082,180.94
  5. Step 5: Solve for x
    x = 63,082,180.94/6,881.34
  6. Step 6: Final answer
    x = 9,167.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.