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Finding the Fourth Proportional to 9,787.95, 14,684.43 and 3,214.19

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Solution

The fourth proportional to 9,787.95, 14,684.43 and 3,214.19 is: 4,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.95 : 14,684.43 = 3,214.19 : x
  2. Step 2: Convert to fraction form
    9,787.95/14,684.43 = 3,214.19/x
  3. Step 3: Cross multiply
    9,787.95x = 14,684.43 × 3,214.19
  4. Step 4: Simplify right side
    9,787.95x = 47,198,474.64
  5. Step 5: Solve for x
    x = 47,198,474.64/9,787.95
  6. Step 6: Final answer
    x = 4,822.10

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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.