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Finding the Fourth Proportional to 6,524.90, 9,787.35 and 4,969.70

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Solution

The fourth proportional to 6,524.90, 9,787.35 and 4,969.70 is: 7,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.90 : 9,787.35 = 4,969.70 : x
  2. Step 2: Convert to fraction form
    6,524.90/9,787.35 = 4,969.70/x
  3. Step 3: Cross multiply
    6,524.90x = 9,787.35 × 4,969.70
  4. Step 4: Simplify right side
    6,524.90x = 48,640,193.30
  5. Step 5: Solve for x
    x = 48,640,193.30/6,524.90
  6. Step 6: Final answer
    x = 7,454.55

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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.