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Finding the Fourth Proportional to 6,806.41, 10,153.07 and 6,693.64

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Solution

The fourth proportional to 6,806.41, 10,153.07 and 6,693.64 is: 9,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.41 : 10,153.07 = 6,693.64 : x
  2. Step 2: Convert to fraction form
    6,806.41/10,153.07 = 6,693.64/x
  3. Step 3: Cross multiply
    6,806.41x = 10,153.07 × 6,693.64
  4. Step 4: Simplify right side
    6,806.41x = 67,960,995.47
  5. Step 5: Solve for x
    x = 67,960,995.47/6,806.41
  6. Step 6: Final answer
    x = 9,984.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.