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Finding the Fourth Proportional to 31,295.97, 46,943.96 and 9,109.54

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Solution

The fourth proportional to 31,295.97, 46,943.96 and 9,109.54 is: 13,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.97 : 46,943.96 = 9,109.54 : x
  2. Step 2: Convert to fraction form
    31,295.97/46,943.96 = 9,109.54/x
  3. Step 3: Cross multiply
    31,295.97x = 46,943.96 × 9,109.54
  4. Step 4: Simplify right side
    31,295.97x = 427,637,762.48
  5. Step 5: Solve for x
    x = 427,637,762.48/31,295.97
  6. Step 6: Final answer
    x = 13,664.31

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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.