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Finding the Fourth Proportional to 6,503.32, 8,974.54 and 3,519.16

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Solution

The fourth proportional to 6,503.32, 8,974.54 and 3,519.16 is: 4,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.32 : 8,974.54 = 3,519.16 : x
  2. Step 2: Convert to fraction form
    6,503.32/8,974.54 = 3,519.16/x
  3. Step 3: Cross multiply
    6,503.32x = 8,974.54 × 3,519.16
  4. Step 4: Simplify right side
    6,503.32x = 31,582,842.19
  5. Step 5: Solve for x
    x = 31,582,842.19/6,503.32
  6. Step 6: Final answer
    x = 4,856.42

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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.