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Finding the Fourth Proportional to 7,214.70, 10,825.65 and 4,097.10

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Solution

The fourth proportional to 7,214.70, 10,825.65 and 4,097.10 is: 6,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.70 : 10,825.65 = 4,097.10 : x
  2. Step 2: Convert to fraction form
    7,214.70/10,825.65 = 4,097.10/x
  3. Step 3: Cross multiply
    7,214.70x = 10,825.65 × 4,097.10
  4. Step 4: Simplify right side
    7,214.70x = 44,353,770.62
  5. Step 5: Solve for x
    x = 44,353,770.62/7,214.70
  6. Step 6: Final answer
    x = 6,147.69

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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.