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Finding the Fourth Proportional to 9,471.80, 14,211.79 and 5,084.13

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Solution

The fourth proportional to 9,471.80, 14,211.79 and 5,084.13 is: 7,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.80 : 14,211.79 = 5,084.13 : x
  2. Step 2: Convert to fraction form
    9,471.80/14,211.79 = 5,084.13/x
  3. Step 3: Cross multiply
    9,471.80x = 14,211.79 × 5,084.13
  4. Step 4: Simplify right side
    9,471.80x = 72,254,587.89
  5. Step 5: Solve for x
    x = 72,254,587.89/9,471.80
  6. Step 6: Final answer
    x = 7,628.39

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1.5x scale

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.