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Finding the Fourth Proportional to 9,497.67, 14,242.17 and 3,947.70

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Solution

The fourth proportional to 9,497.67, 14,242.17 and 3,947.70 is: 5,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.67 : 14,242.17 = 3,947.70 : x
  2. Step 2: Convert to fraction form
    9,497.67/14,242.17 = 3,947.70/x
  3. Step 3: Cross multiply
    9,497.67x = 14,242.17 × 3,947.70
  4. Step 4: Simplify right side
    9,497.67x = 56,223,814.51
  5. Step 5: Solve for x
    x = 56,223,814.51/9,497.67
  6. Step 6: Final answer
    x = 5,919.75

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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.