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Finding the Fourth Proportional to 6,803.47, 9,367.31 and 6,180.62

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Solution

The fourth proportional to 6,803.47, 9,367.31 and 6,180.62 is: 8,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.47 : 9,367.31 = 6,180.62 : x
  2. Step 2: Convert to fraction form
    6,803.47/9,367.31 = 6,180.62/x
  3. Step 3: Cross multiply
    6,803.47x = 9,367.31 × 6,180.62
  4. Step 4: Simplify right side
    6,803.47x = 57,895,752.63
  5. Step 5: Solve for x
    x = 57,895,752.63/6,803.47
  6. Step 6: Final answer
    x = 8,509.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.