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Finding the Fourth Proportional to 7,571.47, 10,448.54 and 4,214.22

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Solution

The fourth proportional to 7,571.47, 10,448.54 and 4,214.22 is: 5,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.47 : 10,448.54 = 4,214.22 : x
  2. Step 2: Convert to fraction form
    7,571.47/10,448.54 = 4,214.22/x
  3. Step 3: Cross multiply
    7,571.47x = 10,448.54 × 4,214.22
  4. Step 4: Simplify right side
    7,571.47x = 44,032,446.24
  5. Step 5: Solve for x
    x = 44,032,446.24/7,571.47
  6. Step 6: Final answer
    x = 5,815.57

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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.