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Finding the Fourth Proportional to 4,760, 6,571.68 and 3,106.88

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Solution

The fourth proportional to 4,760, 6,571.68 and 3,106.88 is: 4,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760 : 6,571.68 = 3,106.88 : x
  2. Step 2: Convert to fraction form
    4,760/6,571.68 = 3,106.88/x
  3. Step 3: Cross multiply
    4,760x = 6,571.68 × 3,106.88
  4. Step 4: Simplify right side
    4,760x = 20,417,421.16
  5. Step 5: Solve for x
    x = 20,417,421.16/4,760
  6. Step 6: Final answer
    x = 4,289.37

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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.