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Finding the Fourth Proportional to 9,787.91, 14,681.82 and 2,767.91

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Solution

The fourth proportional to 9,787.91, 14,681.82 and 2,767.91 is: 4,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.91 : 14,681.82 = 2,767.91 : x
  2. Step 2: Convert to fraction form
    9,787.91/14,681.82 = 2,767.91/x
  3. Step 3: Cross multiply
    9,787.91x = 14,681.82 × 2,767.91
  4. Step 4: Simplify right side
    9,787.91x = 40,637,956.40
  5. Step 5: Solve for x
    x = 40,637,956.40/9,787.91
  6. Step 6: Final answer
    x = 4,151.85

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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.