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Finding the Fourth Proportional to 12,874.02, 17,754.03 and 10,230.18

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Solution

The fourth proportional to 12,874.02, 17,754.03 and 10,230.18 is: 14,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.02 : 17,754.03 = 10,230.18 : x
  2. Step 2: Convert to fraction form
    12,874.02/17,754.03 = 10,230.18/x
  3. Step 3: Cross multiply
    12,874.02x = 17,754.03 × 10,230.18
  4. Step 4: Simplify right side
    12,874.02x = 181,626,922.63
  5. Step 5: Solve for x
    x = 181,626,922.63/12,874.02
  6. Step 6: Final answer
    x = 14,108.02

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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.