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Finding the Fourth Proportional to 7,751.71, 10,697.07 and 4,214.80

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Solution

The fourth proportional to 7,751.71, 10,697.07 and 4,214.80 is: 5,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.71 : 10,697.07 = 4,214.80 : x
  2. Step 2: Convert to fraction form
    7,751.71/10,697.07 = 4,214.80/x
  3. Step 3: Cross multiply
    7,751.71x = 10,697.07 × 4,214.80
  4. Step 4: Simplify right side
    7,751.71x = 45,086,010.64
  5. Step 5: Solve for x
    x = 45,086,010.64/7,751.71
  6. Step 6: Final answer
    x = 5,816.27

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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.