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Finding the Fourth Proportional to 16,411.04, 22,647.12 and 8,959.04

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Solution

The fourth proportional to 16,411.04, 22,647.12 and 8,959.04 is: 12,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.04 : 22,647.12 = 8,959.04 : x
  2. Step 2: Convert to fraction form
    16,411.04/22,647.12 = 8,959.04/x
  3. Step 3: Cross multiply
    16,411.04x = 22,647.12 × 8,959.04
  4. Step 4: Simplify right side
    16,411.04x = 202,896,453.96
  5. Step 5: Solve for x
    x = 202,896,453.96/16,411.04
  6. Step 6: Final answer
    x = 12,363.41

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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.