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Finding the Fourth Proportional to 15,967.15, 23,977.41 and 9,977.17

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Solution

The fourth proportional to 15,967.15, 23,977.41 and 9,977.17 is: 14,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.15 : 23,977.41 = 9,977.17 : x
  2. Step 2: Convert to fraction form
    15,967.15/23,977.41 = 9,977.17/x
  3. Step 3: Cross multiply
    15,967.15x = 23,977.41 × 9,977.17
  4. Step 4: Simplify right side
    15,967.15x = 239,226,695.73
  5. Step 5: Solve for x
    x = 239,226,695.73/15,967.15
  6. Step 6: Final answer
    x = 14,982.43

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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.