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Finding the Fourth Proportional to 9,471.84, 13,071.17 and 5,164.90

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Solution

The fourth proportional to 9,471.84, 13,071.17 and 5,164.90 is: 7,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.84 : 13,071.17 = 5,164.90 : x
  2. Step 2: Convert to fraction form
    9,471.84/13,071.17 = 5,164.90/x
  3. Step 3: Cross multiply
    9,471.84x = 13,071.17 × 5,164.90
  4. Step 4: Simplify right side
    9,471.84x = 67,511,285.93
  5. Step 5: Solve for x
    x = 67,511,285.93/9,471.84
  6. Step 6: Final answer
    x = 7,127.58

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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.