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Finding the Fourth Proportional to 12,888.82, 17,787.82 and 7,224.53

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Solution

The fourth proportional to 12,888.82, 17,787.82 and 7,224.53 is: 9,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.82 : 17,787.82 = 7,224.53 : x
  2. Step 2: Convert to fraction form
    12,888.82/17,787.82 = 7,224.53/x
  3. Step 3: Cross multiply
    12,888.82x = 17,787.82 × 7,224.53
  4. Step 4: Simplify right side
    12,888.82x = 128,508,639.22
  5. Step 5: Solve for x
    x = 128,508,639.22/12,888.82
  6. Step 6: Final answer
    x = 9,970.55

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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.