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Finding the Fourth Proportional to 9,707.97, 14,496.16 and 7,711.19

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Solution

The fourth proportional to 9,707.97, 14,496.16 and 7,711.19 is: 11,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.97 : 14,496.16 = 7,711.19 : x
  2. Step 2: Convert to fraction form
    9,707.97/14,496.16 = 7,711.19/x
  3. Step 3: Cross multiply
    9,707.97x = 14,496.16 × 7,711.19
  4. Step 4: Simplify right side
    9,707.97x = 111,782,552.27
  5. Step 5: Solve for x
    x = 111,782,552.27/9,707.97
  6. Step 6: Final answer
    x = 11,514.51

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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.