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Finding the Fourth Proportional to 8,234.49, 11,363.49 and 4,697.76

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Solution

The fourth proportional to 8,234.49, 11,363.49 and 4,697.76 is: 6,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.49 : 11,363.49 = 4,697.76 : x
  2. Step 2: Convert to fraction form
    8,234.49/11,363.49 = 4,697.76/x
  3. Step 3: Cross multiply
    8,234.49x = 11,363.49 × 4,697.76
  4. Step 4: Simplify right side
    8,234.49x = 53,382,948.78
  5. Step 5: Solve for x
    x = 53,382,948.78/8,234.49
  6. Step 6: Final answer
    x = 6,482.85

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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.