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Finding the Fourth Proportional to 11,707.97, 17,561.97 and 4,782.47

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Solution

The fourth proportional to 11,707.97, 17,561.97 and 4,782.47 is: 7,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.97 : 17,561.97 = 4,782.47 : x
  2. Step 2: Convert to fraction form
    11,707.97/17,561.97 = 4,782.47/x
  3. Step 3: Cross multiply
    11,707.97x = 17,561.97 × 4,782.47
  4. Step 4: Simplify right side
    11,707.97x = 83,989,594.67
  5. Step 5: Solve for x
    x = 83,989,594.67/11,707.97
  6. Step 6: Final answer
    x = 7,173.71

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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.