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Finding the Fourth Proportional to 8,234.68, 11,362.80 and 4,697.68

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Solution

The fourth proportional to 8,234.68, 11,362.80 and 4,697.68 is: 6,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.68 : 11,362.80 = 4,697.68 : x
  2. Step 2: Convert to fraction form
    8,234.68/11,362.80 = 4,697.68/x
  3. Step 3: Cross multiply
    8,234.68x = 11,362.80 × 4,697.68
  4. Step 4: Simplify right side
    8,234.68x = 53,378,798.30
  5. Step 5: Solve for x
    x = 53,378,798.30/8,234.68
  6. Step 6: Final answer
    x = 6,482.19

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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.