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Finding the Fourth Proportional to 7,571.87, 10,449.10 and 4,214.63

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Solution

The fourth proportional to 7,571.87, 10,449.10 and 4,214.63 is: 5,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.87 : 10,449.10 = 4,214.63 : x
  2. Step 2: Convert to fraction form
    7,571.87/10,449.10 = 4,214.63/x
  3. Step 3: Cross multiply
    7,571.87x = 10,449.10 × 4,214.63
  4. Step 4: Simplify right side
    7,571.87x = 44,039,090.33
  5. Step 5: Solve for x
    x = 44,039,090.33/7,571.87
  6. Step 6: Final answer
    x = 5,816.14

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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.