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Finding the Fourth Proportional to 14,761.49, 20,371.01 and 8,047.08

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Solution

The fourth proportional to 14,761.49, 20,371.01 and 8,047.08 is: 11,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.49 : 20,371.01 = 8,047.08 : x
  2. Step 2: Convert to fraction form
    14,761.49/20,371.01 = 8,047.08/x
  3. Step 3: Cross multiply
    14,761.49x = 20,371.01 × 8,047.08
  4. Step 4: Simplify right side
    14,761.49x = 163,927,106.92
  5. Step 5: Solve for x
    x = 163,927,106.92/14,761.49
  6. Step 6: Final answer
    x = 11,105.06

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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.