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Finding the Fourth Proportional to 4,762.97, 7,144.79 and 1,475.63

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Solution

The fourth proportional to 4,762.97, 7,144.79 and 1,475.63 is: 2,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.97 : 7,144.79 = 1,475.63 : x
  2. Step 2: Convert to fraction form
    4,762.97/7,144.79 = 1,475.63/x
  3. Step 3: Cross multiply
    4,762.97x = 7,144.79 × 1,475.63
  4. Step 4: Simplify right side
    4,762.97x = 10,543,066.47
  5. Step 5: Solve for x
    x = 10,543,066.47/4,762.97
  6. Step 6: Final answer
    x = 2,213.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.