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Finding the Fourth Proportional to 9,578.66, 13,218.08 and 5,329.97

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Solution

The fourth proportional to 9,578.66, 13,218.08 and 5,329.97 is: 7,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.66 : 13,218.08 = 5,329.97 : x
  2. Step 2: Convert to fraction form
    9,578.66/13,218.08 = 5,329.97/x
  3. Step 3: Cross multiply
    9,578.66x = 13,218.08 × 5,329.97
  4. Step 4: Simplify right side
    9,578.66x = 70,451,943.21
  5. Step 5: Solve for x
    x = 70,451,943.21/9,578.66
  6. Step 6: Final answer
    x = 7,355.09

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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.