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Finding the Fourth Proportional to 6,839.24, 9,442.68 and 6,368.30

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Solution

The fourth proportional to 6,839.24, 9,442.68 and 6,368.30 is: 8,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.24 : 9,442.68 = 6,368.30 : x
  2. Step 2: Convert to fraction form
    6,839.24/9,442.68 = 6,368.30/x
  3. Step 3: Cross multiply
    6,839.24x = 9,442.68 × 6,368.30
  4. Step 4: Simplify right side
    6,839.24x = 60,133,771.83
  5. Step 5: Solve for x
    x = 60,133,771.83/6,839.24
  6. Step 6: Final answer
    x = 8,792.47

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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.