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Finding the Fourth Proportional to 4,764.72, 6,575.34 and 2,776.65

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Solution

The fourth proportional to 4,764.72, 6,575.34 and 2,776.65 is: 3,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.72 : 6,575.34 = 2,776.65 : x
  2. Step 2: Convert to fraction form
    4,764.72/6,575.34 = 2,776.65/x
  3. Step 3: Cross multiply
    4,764.72x = 6,575.34 × 2,776.65
  4. Step 4: Simplify right side
    4,764.72x = 18,257,417.81
  5. Step 5: Solve for x
    x = 18,257,417.81/4,764.72
  6. Step 6: Final answer
    x = 3,831.79

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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.