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Finding the Fourth Proportional to 9,471.52, 13,071 and 5,494.15

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Solution

The fourth proportional to 9,471.52, 13,071 and 5,494.15 is: 7,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.52 : 13,071 = 5,494.15 : x
  2. Step 2: Convert to fraction form
    9,471.52/13,071 = 5,494.15/x
  3. Step 3: Cross multiply
    9,471.52x = 13,071 × 5,494.15
  4. Step 4: Simplify right side
    9,471.52x = 71,814,034.65
  5. Step 5: Solve for x
    x = 71,814,034.65/9,471.52
  6. Step 6: Final answer
    x = 7,582.10

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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.