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Finding the Fourth Proportional to 7,442.84, 11,166.16 and 5,255.84

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Solution

The fourth proportional to 7,442.84, 11,166.16 and 5,255.84 is: 7,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.84 : 11,166.16 = 5,255.84 : x
  2. Step 2: Convert to fraction form
    7,442.84/11,166.16 = 5,255.84/x
  3. Step 3: Cross multiply
    7,442.84x = 11,166.16 × 5,255.84
  4. Step 4: Simplify right side
    7,442.84x = 58,687,550.37
  5. Step 5: Solve for x
    x = 58,687,550.37/7,442.84
  6. Step 6: Final answer
    x = 7,885.10

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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.