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Finding the Fourth Proportional to 11,482.24, 17,226 and 3,274.24

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Solution

The fourth proportional to 11,482.24, 17,226 and 3,274.24 is: 4,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.24 : 17,226 = 3,274.24 : x
  2. Step 2: Convert to fraction form
    11,482.24/17,226 = 3,274.24/x
  3. Step 3: Cross multiply
    11,482.24x = 17,226 × 3,274.24
  4. Step 4: Simplify right side
    11,482.24x = 56,402,058.24
  5. Step 5: Solve for x
    x = 56,402,058.24/11,482.24
  6. Step 6: Final answer
    x = 4,912.11

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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.