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Finding the Fourth Proportional to 7,094.46, 10,633.05 and 6,214.80

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Solution

The fourth proportional to 7,094.46, 10,633.05 and 6,214.80 is: 9,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.46 : 10,633.05 = 6,214.80 : x
  2. Step 2: Convert to fraction form
    7,094.46/10,633.05 = 6,214.80/x
  3. Step 3: Cross multiply
    7,094.46x = 10,633.05 × 6,214.80
  4. Step 4: Simplify right side
    7,094.46x = 66,082,279.14
  5. Step 5: Solve for x
    x = 66,082,279.14/7,094.46
  6. Step 6: Final answer
    x = 9,314.63

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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.