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Finding the Fourth Proportional to 15,874.77, 23,816.78 and 7,107.63

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Solution

The fourth proportional to 15,874.77, 23,816.78 and 7,107.63 is: 10,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.77 : 23,816.78 = 7,107.63 : x
  2. Step 2: Convert to fraction form
    15,874.77/23,816.78 = 7,107.63/x
  3. Step 3: Cross multiply
    15,874.77x = 23,816.78 × 7,107.63
  4. Step 4: Simplify right side
    15,874.77x = 169,280,935.78
  5. Step 5: Solve for x
    x = 169,280,935.78/15,874.77
  6. Step 6: Final answer
    x = 10,663.52

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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.