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Finding the Fourth Proportional to 9,647.76, 13,309.92 and 5,869.56

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Solution

The fourth proportional to 9,647.76, 13,309.92 and 5,869.56 is: 8,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.76 : 13,309.92 = 5,869.56 : x
  2. Step 2: Convert to fraction form
    9,647.76/13,309.92 = 5,869.56/x
  3. Step 3: Cross multiply
    9,647.76x = 13,309.92 × 5,869.56
  4. Step 4: Simplify right side
    9,647.76x = 78,123,374.04
  5. Step 5: Solve for x
    x = 78,123,374.04/9,647.76
  6. Step 6: Final answer
    x = 8,097.57

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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.