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Finding the Fourth Proportional to 4,762.74, 6,572.56 and 2,746.14

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Solution

The fourth proportional to 4,762.74, 6,572.56 and 2,746.14 is: 3,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.74 : 6,572.56 = 2,746.14 : x
  2. Step 2: Convert to fraction form
    4,762.74/6,572.56 = 2,746.14/x
  3. Step 3: Cross multiply
    4,762.74x = 6,572.56 × 2,746.14
  4. Step 4: Simplify right side
    4,762.74x = 18,049,169.92
  5. Step 5: Solve for x
    x = 18,049,169.92/4,762.74
  6. Step 6: Final answer
    x = 3,789.66

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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.