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Finding the Fourth Proportional to 15,776.17, 23,651.76 and 7,874.62

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Solution

The fourth proportional to 15,776.17, 23,651.76 and 7,874.62 is: 11,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.17 : 23,651.76 = 7,874.62 : x
  2. Step 2: Convert to fraction form
    15,776.17/23,651.76 = 7,874.62/x
  3. Step 3: Cross multiply
    15,776.17x = 23,651.76 × 7,874.62
  4. Step 4: Simplify right side
    15,776.17x = 186,248,622.33
  5. Step 5: Solve for x
    x = 186,248,622.33/15,776.17
  6. Step 6: Final answer
    x = 11,805.69

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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.