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Finding the Fourth Proportional to 6,781.98, 10,106.41 and 6,559.03

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Solution

The fourth proportional to 6,781.98, 10,106.41 and 6,559.03 is: 9,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.98 : 10,106.41 = 6,559.03 : x
  2. Step 2: Convert to fraction form
    6,781.98/10,106.41 = 6,559.03/x
  3. Step 3: Cross multiply
    6,781.98x = 10,106.41 × 6,559.03
  4. Step 4: Simplify right side
    6,781.98x = 66,288,204.72
  5. Step 5: Solve for x
    x = 66,288,204.72/6,781.98
  6. Step 6: Final answer
    x = 9,774.17

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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.