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Finding the Fourth Proportional to 10,787.95, 14,891.97 and 7,253.22

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Solution

The fourth proportional to 10,787.95, 14,891.97 and 7,253.22 is: 10,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.95 : 14,891.97 = 7,253.22 : x
  2. Step 2: Convert to fraction form
    10,787.95/14,891.97 = 7,253.22/x
  3. Step 3: Cross multiply
    10,787.95x = 14,891.97 × 7,253.22
  4. Step 4: Simplify right side
    10,787.95x = 108,014,734.64
  5. Step 5: Solve for x
    x = 108,014,734.64/10,787.95
  6. Step 6: Final answer
    x = 10,012.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.