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Finding the Fourth Proportional to 31,291.40, 46,936.70 and 7,599.14

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Solution

The fourth proportional to 31,291.40, 46,936.70 and 7,599.14 is: 11,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.40 : 46,936.70 = 7,599.14 : x
  2. Step 2: Convert to fraction form
    31,291.40/46,936.70 = 7,599.14/x
  3. Step 3: Cross multiply
    31,291.40x = 46,936.70 × 7,599.14
  4. Step 4: Simplify right side
    31,291.40x = 356,678,516.44
  5. Step 5: Solve for x
    x = 356,678,516.44/31,291.40
  6. Step 6: Final answer
    x = 11,398.61

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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.