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Finding the Fourth Proportional to 7,049.19, 10,578.65 and 6,994.52

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Solution

The fourth proportional to 7,049.19, 10,578.65 and 6,994.52 is: 10,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.19 : 10,578.65 = 6,994.52 : x
  2. Step 2: Convert to fraction form
    7,049.19/10,578.65 = 6,994.52/x
  3. Step 3: Cross multiply
    7,049.19x = 10,578.65 × 6,994.52
  4. Step 4: Simplify right side
    7,049.19x = 73,992,579.00
  5. Step 5: Solve for x
    x = 73,992,579.00/7,049.19
  6. Step 6: Final answer
    x = 10,496.61

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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.