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Finding the Fourth Proportional to 13,006.78, 17,943.52 and 8,807.74

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Solution

The fourth proportional to 13,006.78, 17,943.52 and 8,807.74 is: 12,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.78 : 17,943.52 = 8,807.74 : x
  2. Step 2: Convert to fraction form
    13,006.78/17,943.52 = 8,807.74/x
  3. Step 3: Cross multiply
    13,006.78x = 17,943.52 × 8,807.74
  4. Step 4: Simplify right side
    13,006.78x = 158,041,858.84
  5. Step 5: Solve for x
    x = 158,041,858.84/13,006.78
  6. Step 6: Final answer
    x = 12,150.73

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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.