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Finding the Fourth Proportional to 9,597.78, 13,247.12 and 6,234.74

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Solution

The fourth proportional to 9,597.78, 13,247.12 and 6,234.74 is: 8,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.78 : 13,247.12 = 6,234.74 : x
  2. Step 2: Convert to fraction form
    9,597.78/13,247.12 = 6,234.74/x
  3. Step 3: Cross multiply
    9,597.78x = 13,247.12 × 6,234.74
  4. Step 4: Simplify right side
    9,597.78x = 82,592,251.54
  5. Step 5: Solve for x
    x = 82,592,251.54/9,597.78
  6. Step 6: Final answer
    x = 8,605.35

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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.