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Finding the Fourth Proportional to 25,787.63, 38,681.78 and 8,257.46

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Solution

The fourth proportional to 25,787.63, 38,681.78 and 8,257.46 is: 12,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,787.63 : 38,681.78 = 8,257.46 : x
  2. Step 2: Convert to fraction form
    25,787.63/38,681.78 = 8,257.46/x
  3. Step 3: Cross multiply
    25,787.63x = 38,681.78 × 8,257.46
  4. Step 4: Simplify right side
    25,787.63x = 319,413,062.83
  5. Step 5: Solve for x
    x = 319,413,062.83/25,787.63
  6. Step 6: Final answer
    x = 12,386.29

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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.