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Finding the Fourth Proportional to 6,249.77, 8,624.50 and 3,417.05

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Solution

The fourth proportional to 6,249.77, 8,624.50 and 3,417.05 is: 4,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.77 : 8,624.50 = 3,417.05 : x
  2. Step 2: Convert to fraction form
    6,249.77/8,624.50 = 3,417.05/x
  3. Step 3: Cross multiply
    6,249.77x = 8,624.50 × 3,417.05
  4. Step 4: Simplify right side
    6,249.77x = 29,470,296.06
  5. Step 5: Solve for x
    x = 29,470,296.06/6,249.77
  6. Step 6: Final answer
    x = 4,715.42

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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.