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Finding the Fourth Proportional to 7,693.56, 11,552.67 and 6,442.88

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Solution

The fourth proportional to 7,693.56, 11,552.67 and 6,442.88 is: 9,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.56 : 11,552.67 = 6,442.88 : x
  2. Step 2: Convert to fraction form
    7,693.56/11,552.67 = 6,442.88/x
  3. Step 3: Cross multiply
    7,693.56x = 11,552.67 × 6,442.88
  4. Step 4: Simplify right side
    7,693.56x = 74,432,408.73
  5. Step 5: Solve for x
    x = 74,432,408.73/7,693.56
  6. Step 6: Final answer
    x = 9,674.64

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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.