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Finding the Fourth Proportional to 8,282.88, 12,424.32 and 4,174.08

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Solution

The fourth proportional to 8,282.88, 12,424.32 and 4,174.08 is: 6,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.88 : 12,424.32 = 4,174.08 : x
  2. Step 2: Convert to fraction form
    8,282.88/12,424.32 = 4,174.08/x
  3. Step 3: Cross multiply
    8,282.88x = 12,424.32 × 4,174.08
  4. Step 4: Simplify right side
    8,282.88x = 51,860,105.63
  5. Step 5: Solve for x
    x = 51,860,105.63/8,282.88
  6. Step 6: Final answer
    x = 6,261.12

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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.