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Finding the Fourth Proportional to 12,594.66, 18,899.31 and 6,972.90

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Solution

The fourth proportional to 12,594.66, 18,899.31 and 6,972.90 is: 10,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.66 : 18,899.31 = 6,972.90 : x
  2. Step 2: Convert to fraction form
    12,594.66/18,899.31 = 6,972.90/x
  3. Step 3: Cross multiply
    12,594.66x = 18,899.31 × 6,972.90
  4. Step 4: Simplify right side
    12,594.66x = 131,782,998.70
  5. Step 5: Solve for x
    x = 131,782,998.70/12,594.66
  6. Step 6: Final answer
    x = 10,463.40

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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.