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Finding the Fourth Proportional to 6,503.29, 8,974.53 and 3,519.12

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Solution

The fourth proportional to 6,503.29, 8,974.53 and 3,519.12 is: 4,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.29 : 8,974.53 = 3,519.12 : x
  2. Step 2: Convert to fraction form
    6,503.29/8,974.53 = 3,519.12/x
  3. Step 3: Cross multiply
    6,503.29x = 8,974.53 × 3,519.12
  4. Step 4: Simplify right side
    6,503.29x = 31,582,448.01
  5. Step 5: Solve for x
    x = 31,582,448.01/6,503.29
  6. Step 6: Final answer
    x = 4,856.38

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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.