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Finding the Fourth Proportional to 6,943.59, 9,578.05 and 5,052.65

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Solution

The fourth proportional to 6,943.59, 9,578.05 and 5,052.65 is: 6,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.59 : 9,578.05 = 5,052.65 : x
  2. Step 2: Convert to fraction form
    6,943.59/9,578.05 = 5,052.65/x
  3. Step 3: Cross multiply
    6,943.59x = 9,578.05 × 5,052.65
  4. Step 4: Simplify right side
    6,943.59x = 48,394,473.81
  5. Step 5: Solve for x
    x = 48,394,473.81/6,943.59
  6. Step 6: Final answer
    x = 6,969.66

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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.