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Finding the Fourth Proportional to 7,927.29, 11,902.58 and 7,787.30

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Solution

The fourth proportional to 7,927.29, 11,902.58 and 7,787.30 is: 11,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.29 : 11,902.58 = 7,787.30 : x
  2. Step 2: Convert to fraction form
    7,927.29/11,902.58 = 7,787.30/x
  3. Step 3: Cross multiply
    7,927.29x = 11,902.58 × 7,787.30
  4. Step 4: Simplify right side
    7,927.29x = 92,688,862.78
  5. Step 5: Solve for x
    x = 92,688,862.78/7,927.29
  6. Step 6: Final answer
    x = 11,692.38

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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.