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Finding the Fourth Proportional to 15,872.50, 23,807.48 and 7,966.94

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Solution

The fourth proportional to 15,872.50, 23,807.48 and 7,966.94 is: 11,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.50 : 23,807.48 = 7,966.94 : x
  2. Step 2: Convert to fraction form
    15,872.50/23,807.48 = 7,966.94/x
  3. Step 3: Cross multiply
    15,872.50x = 23,807.48 × 7,966.94
  4. Step 4: Simplify right side
    15,872.50x = 189,672,764.71
  5. Step 5: Solve for x
    x = 189,672,764.71/15,872.50
  6. Step 6: Final answer
    x = 11,949.77

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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.