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Finding the Fourth Proportional to 15,751.77, 21,737.46 and 8,678.22

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Solution

The fourth proportional to 15,751.77, 21,737.46 and 8,678.22 is: 11,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.77 : 21,737.46 = 8,678.22 : x
  2. Step 2: Convert to fraction form
    15,751.77/21,737.46 = 8,678.22/x
  3. Step 3: Cross multiply
    15,751.77x = 21,737.46 × 8,678.22
  4. Step 4: Simplify right side
    15,751.77x = 188,642,460.12
  5. Step 5: Solve for x
    x = 188,642,460.12/15,751.77
  6. Step 6: Final answer
    x = 11,975.95

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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.