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Finding the Fourth Proportional to 7,571.47, 10,448.47 and 4,214.16

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Solution

The fourth proportional to 7,571.47, 10,448.47 and 4,214.16 is: 5,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.47 : 10,448.47 = 4,214.16 : x
  2. Step 2: Convert to fraction form
    7,571.47/10,448.47 = 4,214.16/x
  3. Step 3: Cross multiply
    7,571.47x = 10,448.47 × 4,214.16
  4. Step 4: Simplify right side
    7,571.47x = 44,031,524.34
  5. Step 5: Solve for x
    x = 44,031,524.34/7,571.47
  6. Step 6: Final answer
    x = 5,815.45

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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.