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Finding the Fourth Proportional to 15,193.41, 22,811.31 and 7,802.97

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Solution

The fourth proportional to 15,193.41, 22,811.31 and 7,802.97 is: 11,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.41 : 22,811.31 = 7,802.97 : x
  2. Step 2: Convert to fraction form
    15,193.41/22,811.31 = 7,802.97/x
  3. Step 3: Cross multiply
    15,193.41x = 22,811.31 × 7,802.97
  4. Step 4: Simplify right side
    15,193.41x = 177,995,967.59
  5. Step 5: Solve for x
    x = 177,995,967.59/15,193.41
  6. Step 6: Final answer
    x = 11,715.34

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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.