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Finding the Fourth Proportional to 31,282.54, 46,923.80 and 7,908.97

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Solution

The fourth proportional to 31,282.54, 46,923.80 and 7,908.97 is: 11,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.54 : 46,923.80 = 7,908.97 : x
  2. Step 2: Convert to fraction form
    31,282.54/46,923.80 = 7,908.97/x
  3. Step 3: Cross multiply
    31,282.54x = 46,923.80 × 7,908.97
  4. Step 4: Simplify right side
    31,282.54x = 371,118,926.49
  5. Step 5: Solve for x
    x = 371,118,926.49/31,282.54
  6. Step 6: Final answer
    x = 11,863.45

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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.