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Finding the Fourth Proportional to 9,787.68, 14,686.90 and 4,241.07

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Solution

The fourth proportional to 9,787.68, 14,686.90 and 4,241.07 is: 6,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.68 : 14,686.90 = 4,241.07 : x
  2. Step 2: Convert to fraction form
    9,787.68/14,686.90 = 4,241.07/x
  3. Step 3: Cross multiply
    9,787.68x = 14,686.90 × 4,241.07
  4. Step 4: Simplify right side
    9,787.68x = 62,288,195.94
  5. Step 5: Solve for x
    x = 62,288,195.94/9,787.68
  6. Step 6: Final answer
    x = 6,363.94

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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.