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Finding the Fourth Proportional to 14,902.80, 22,321.80 and 9,070.80

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Solution

The fourth proportional to 14,902.80, 22,321.80 and 9,070.80 is: 13,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.80 : 22,321.80 = 9,070.80 : x
  2. Step 2: Convert to fraction form
    14,902.80/22,321.80 = 9,070.80/x
  3. Step 3: Cross multiply
    14,902.80x = 22,321.80 × 9,070.80
  4. Step 4: Simplify right side
    14,902.80x = 202,476,583.44
  5. Step 5: Solve for x
    x = 202,476,583.44/14,902.80
  6. Step 6: Final answer
    x = 13,586.48

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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.