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Finding the Fourth Proportional to 7,787.84, 11,681.82 and 2,593.71

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Solution

The fourth proportional to 7,787.84, 11,681.82 and 2,593.71 is: 3,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.84 : 11,681.82 = 2,593.71 : x
  2. Step 2: Convert to fraction form
    7,787.84/11,681.82 = 2,593.71/x
  3. Step 3: Cross multiply
    7,787.84x = 11,681.82 × 2,593.71
  4. Step 4: Simplify right side
    7,787.84x = 30,299,253.35
  5. Step 5: Solve for x
    x = 30,299,253.35/7,787.84
  6. Step 6: Final answer
    x = 3,890.59

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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.