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Finding the Fourth Proportional to 31,134.03, 46,701.05 and 7,760.49

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Solution

The fourth proportional to 31,134.03, 46,701.05 and 7,760.49 is: 11,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.03 : 46,701.05 = 7,760.49 : x
  2. Step 2: Convert to fraction form
    31,134.03/46,701.05 = 7,760.49/x
  3. Step 3: Cross multiply
    31,134.03x = 46,701.05 × 7,760.49
  4. Step 4: Simplify right side
    31,134.03x = 362,422,992.71
  5. Step 5: Solve for x
    x = 362,422,992.71/31,134.03
  6. Step 6: Final answer
    x = 11,640.74

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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.