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Finding the Fourth Proportional to 31,295.69, 46,943.75 and 7,922.13

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Solution

The fourth proportional to 31,295.69, 46,943.75 and 7,922.13 is: 11,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.69 : 46,943.75 = 7,922.13 : x
  2. Step 2: Convert to fraction form
    31,295.69/46,943.75 = 7,922.13/x
  3. Step 3: Cross multiply
    31,295.69x = 46,943.75 × 7,922.13
  4. Step 4: Simplify right side
    31,295.69x = 371,894,450.58
  5. Step 5: Solve for x
    x = 371,894,450.58/31,295.69
  6. Step 6: Final answer
    x = 11,883.25

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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.