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Finding the Fourth Proportional to 6,962.34, 9,608.39 and 4,442.43

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Solution

The fourth proportional to 6,962.34, 9,608.39 and 4,442.43 is: 6,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.34 : 9,608.39 = 4,442.43 : x
  2. Step 2: Convert to fraction form
    6,962.34/9,608.39 = 4,442.43/x
  3. Step 3: Cross multiply
    6,962.34x = 9,608.39 × 4,442.43
  4. Step 4: Simplify right side
    6,962.34x = 42,684,599.99
  5. Step 5: Solve for x
    x = 42,684,599.99/6,962.34
  6. Step 6: Final answer
    x = 6,130.78

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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.