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Finding the Fourth Proportional to 6,809.86, 10,216.50 and 2,427.76

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Solution

The fourth proportional to 6,809.86, 10,216.50 and 2,427.76 is: 3,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.86 : 10,216.50 = 2,427.76 : x
  2. Step 2: Convert to fraction form
    6,809.86/10,216.50 = 2,427.76/x
  3. Step 3: Cross multiply
    6,809.86x = 10,216.50 × 2,427.76
  4. Step 4: Simplify right side
    6,809.86x = 24,803,210.04
  5. Step 5: Solve for x
    x = 24,803,210.04/6,809.86
  6. Step 6: Final answer
    x = 3,642.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.