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Finding the Fourth Proportional to 9,471.80, 13,071.18 and 5,222.87

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Solution

The fourth proportional to 9,471.80, 13,071.18 and 5,222.87 is: 7,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.80 : 13,071.18 = 5,222.87 : x
  2. Step 2: Convert to fraction form
    9,471.80/13,071.18 = 5,222.87/x
  3. Step 3: Cross multiply
    9,471.80x = 13,071.18 × 5,222.87
  4. Step 4: Simplify right side
    9,471.80x = 68,269,073.89
  5. Step 5: Solve for x
    x = 68,269,073.89/9,471.80
  6. Step 6: Final answer
    x = 7,207.62

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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.