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Finding the Fourth Proportional to 6,502.79, 8,974.68 and 4,266.56

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Solution

The fourth proportional to 6,502.79, 8,974.68 and 4,266.56 is: 5,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.79 : 8,974.68 = 4,266.56 : x
  2. Step 2: Convert to fraction form
    6,502.79/8,974.68 = 4,266.56/x
  3. Step 3: Cross multiply
    6,502.79x = 8,974.68 × 4,266.56
  4. Step 4: Simplify right side
    6,502.79x = 38,291,010.70
  5. Step 5: Solve for x
    x = 38,291,010.70/6,502.79
  6. Step 6: Final answer
    x = 5,888.40

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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.