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Finding the Fourth Proportional to 10,684.59, 15,998.90 and 6,976.41

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Solution

The fourth proportional to 10,684.59, 15,998.90 and 6,976.41 is: 10,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.59 : 15,998.90 = 6,976.41 : x
  2. Step 2: Convert to fraction form
    10,684.59/15,998.90 = 6,976.41/x
  3. Step 3: Cross multiply
    10,684.59x = 15,998.90 × 6,976.41
  4. Step 4: Simplify right side
    10,684.59x = 111,614,851.07
  5. Step 5: Solve for x
    x = 111,614,851.07/10,684.59
  6. Step 6: Final answer
    x = 10,446.34

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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.