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Finding the Fourth Proportional to 7,086.68, 10,649.46 and 6,684.11

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Solution

The fourth proportional to 7,086.68, 10,649.46 and 6,684.11 is: 10,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.68 : 10,649.46 = 6,684.11 : x
  2. Step 2: Convert to fraction form
    7,086.68/10,649.46 = 6,684.11/x
  3. Step 3: Cross multiply
    7,086.68x = 10,649.46 × 6,684.11
  4. Step 4: Simplify right side
    7,086.68x = 71,182,162.08
  5. Step 5: Solve for x
    x = 71,182,162.08/7,086.68
  6. Step 6: Final answer
    x = 10,044.50

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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.