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Finding the Fourth Proportional to 20,053.70, 30,084.70 and 6,013.16

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Solution

The fourth proportional to 20,053.70, 30,084.70 and 6,013.16 is: 9,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.70 : 30,084.70 = 6,013.16 : x
  2. Step 2: Convert to fraction form
    20,053.70/30,084.70 = 6,013.16/x
  3. Step 3: Cross multiply
    20,053.70x = 30,084.70 × 6,013.16
  4. Step 4: Simplify right side
    20,053.70x = 180,904,114.65
  5. Step 5: Solve for x
    x = 180,904,114.65/20,053.70
  6. Step 6: Final answer
    x = 9,020.98

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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.