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Finding the Fourth Proportional to 8,234.52, 11,363.52 and 4,697.64

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Solution

The fourth proportional to 8,234.52, 11,363.52 and 4,697.64 is: 6,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.52 : 11,363.52 = 4,697.64 : x
  2. Step 2: Convert to fraction form
    8,234.52/11,363.52 = 4,697.64/x
  3. Step 3: Cross multiply
    8,234.52x = 11,363.52 × 4,697.64
  4. Step 4: Simplify right side
    8,234.52x = 53,381,726.09
  5. Step 5: Solve for x
    x = 53,381,726.09/8,234.52
  6. Step 6: Final answer
    x = 6,482.68

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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.