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Finding the Fourth Proportional to 6,362.08, 8,780.24 and 3,709.76

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Solution

The fourth proportional to 6,362.08, 8,780.24 and 3,709.76 is: 5,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.08 : 8,780.24 = 3,709.76 : x
  2. Step 2: Convert to fraction form
    6,362.08/8,780.24 = 3,709.76/x
  3. Step 3: Cross multiply
    6,362.08x = 8,780.24 × 3,709.76
  4. Step 4: Simplify right side
    6,362.08x = 32,572,583.14
  5. Step 5: Solve for x
    x = 32,572,583.14/6,362.08
  6. Step 6: Final answer
    x = 5,119.80

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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.