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Finding the Fourth Proportional to 9,471.78, 14,209.26 and 2,896.42

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Solution

The fourth proportional to 9,471.78, 14,209.26 and 2,896.42 is: 4,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.78 : 14,209.26 = 2,896.42 : x
  2. Step 2: Convert to fraction form
    9,471.78/14,209.26 = 2,896.42/x
  3. Step 3: Cross multiply
    9,471.78x = 14,209.26 × 2,896.42
  4. Step 4: Simplify right side
    9,471.78x = 41,155,984.85
  5. Step 5: Solve for x
    x = 41,155,984.85/9,471.78
  6. Step 6: Final answer
    x = 4,345.12

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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.