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Finding the Fourth Proportional to 7,751.62, 10,697.13 and 4,214.74

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Solution

The fourth proportional to 7,751.62, 10,697.13 and 4,214.74 is: 5,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.62 : 10,697.13 = 4,214.74 : x
  2. Step 2: Convert to fraction form
    7,751.62/10,697.13 = 4,214.74/x
  3. Step 3: Cross multiply
    7,751.62x = 10,697.13 × 4,214.74
  4. Step 4: Simplify right side
    7,751.62x = 45,085,621.70
  5. Step 5: Solve for x
    x = 45,085,621.70/7,751.62
  6. Step 6: Final answer
    x = 5,816.28

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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.