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Finding the Fourth Proportional to 6,524.90, 9,787.32 and 2,363.93

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Solution

The fourth proportional to 6,524.90, 9,787.32 and 2,363.93 is: 3,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.90 : 9,787.32 = 2,363.93 : x
  2. Step 2: Convert to fraction form
    6,524.90/9,787.32 = 2,363.93/x
  3. Step 3: Cross multiply
    6,524.90x = 9,787.32 × 2,363.93
  4. Step 4: Simplify right side
    6,524.90x = 23,136,569.75
  5. Step 5: Solve for x
    x = 23,136,569.75/6,524.90
  6. Step 6: Final answer
    x = 3,545.89

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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.