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Finding the Fourth Proportional to 9,262.87, 13,924.41 and 7,434.02

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Solution

The fourth proportional to 9,262.87, 13,924.41 and 7,434.02 is: 11,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.87 : 13,924.41 = 7,434.02 : x
  2. Step 2: Convert to fraction form
    9,262.87/13,924.41 = 7,434.02/x
  3. Step 3: Cross multiply
    9,262.87x = 13,924.41 × 7,434.02
  4. Step 4: Simplify right side
    9,262.87x = 103,514,305.26
  5. Step 5: Solve for x
    x = 103,514,305.26/9,262.87
  6. Step 6: Final answer
    x = 11,175.19

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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.