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Finding the Fourth Proportional to 9,879.72, 14,822.16 and 2,954.22

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Solution

The fourth proportional to 9,879.72, 14,822.16 and 2,954.22 is: 4,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.72 : 14,822.16 = 2,954.22 : x
  2. Step 2: Convert to fraction form
    9,879.72/14,822.16 = 2,954.22/x
  3. Step 3: Cross multiply
    9,879.72x = 14,822.16 × 2,954.22
  4. Step 4: Simplify right side
    9,879.72x = 43,787,921.52
  5. Step 5: Solve for x
    x = 43,787,921.52/9,879.72
  6. Step 6: Final answer
    x = 4,432.10

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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.