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Finding the Fourth Proportional to 7,571.70, 10,448.73 and 4,214.32

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Solution

The fourth proportional to 7,571.70, 10,448.73 and 4,214.32 is: 5,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.70 : 10,448.73 = 4,214.32 : x
  2. Step 2: Convert to fraction form
    7,571.70/10,448.73 = 4,214.32/x
  3. Step 3: Cross multiply
    7,571.70x = 10,448.73 × 4,214.32
  4. Step 4: Simplify right side
    7,571.70x = 44,034,265.69
  5. Step 5: Solve for x
    x = 44,034,265.69/7,571.70
  6. Step 6: Final answer
    x = 5,815.64

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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.