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Finding the Fourth Proportional to 9,947.14, 14,920.72 and 4,737.22

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Solution

The fourth proportional to 9,947.14, 14,920.72 and 4,737.22 is: 7,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.14 : 14,920.72 = 4,737.22 : x
  2. Step 2: Convert to fraction form
    9,947.14/14,920.72 = 4,737.22/x
  3. Step 3: Cross multiply
    9,947.14x = 14,920.72 × 4,737.22
  4. Step 4: Simplify right side
    9,947.14x = 70,682,733.20
  5. Step 5: Solve for x
    x = 70,682,733.20/9,947.14
  6. Step 6: Final answer
    x = 7,105.83

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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.