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Finding the Fourth Proportional to 9,717.97, 14,578.14 and 3,478.64

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Solution

The fourth proportional to 9,717.97, 14,578.14 and 3,478.64 is: 5,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.97 : 14,578.14 = 3,478.64 : x
  2. Step 2: Convert to fraction form
    9,717.97/14,578.14 = 3,478.64/x
  3. Step 3: Cross multiply
    9,717.97x = 14,578.14 × 3,478.64
  4. Step 4: Simplify right side
    9,717.97x = 50,712,010.65
  5. Step 5: Solve for x
    x = 50,712,010.65/9,717.97
  6. Step 6: Final answer
    x = 5,218.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.