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Finding the Fourth Proportional to 16,163.46, 22,304.76 and 9,089.46

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Solution

The fourth proportional to 16,163.46, 22,304.76 and 9,089.46 is: 12,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.46 : 22,304.76 = 9,089.46 : x
  2. Step 2: Convert to fraction form
    16,163.46/22,304.76 = 9,089.46/x
  3. Step 3: Cross multiply
    16,163.46x = 22,304.76 × 9,089.46
  4. Step 4: Simplify right side
    16,163.46x = 202,738,223.83
  5. Step 5: Solve for x
    x = 202,738,223.83/16,163.46
  6. Step 6: Final answer
    x = 12,543.00

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Half scale
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Double scale
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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.