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Finding the Fourth Proportional to 6,508.99, 8,949.13 and 5,298.85

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Solution

The fourth proportional to 6,508.99, 8,949.13 and 5,298.85 is: 7,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.99 : 8,949.13 = 5,298.85 : x
  2. Step 2: Convert to fraction form
    6,508.99/8,949.13 = 5,298.85/x
  3. Step 3: Cross multiply
    6,508.99x = 8,949.13 × 5,298.85
  4. Step 4: Simplify right side
    6,508.99x = 47,420,097.50
  5. Step 5: Solve for x
    x = 47,420,097.50/6,508.99
  6. Step 6: Final answer
    x = 7,285.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.