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Finding the Fourth Proportional to 15,926.51, 23,889.77 and 7,151.17

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Solution

The fourth proportional to 15,926.51, 23,889.77 and 7,151.17 is: 10,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.51 : 23,889.77 = 7,151.17 : x
  2. Step 2: Convert to fraction form
    15,926.51/23,889.77 = 7,151.17/x
  3. Step 3: Cross multiply
    15,926.51x = 23,889.77 × 7,151.17
  4. Step 4: Simplify right side
    15,926.51x = 170,839,806.53
  5. Step 5: Solve for x
    x = 170,839,806.53/15,926.51
  6. Step 6: Final answer
    x = 10,726.76

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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.