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Finding the Fourth Proportional to 6,762.32, 9,332.80 and 3,778.56

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Solution

The fourth proportional to 6,762.32, 9,332.80 and 3,778.56 is: 5,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.32 : 9,332.80 = 3,778.56 : x
  2. Step 2: Convert to fraction form
    6,762.32/9,332.80 = 3,778.56/x
  3. Step 3: Cross multiply
    6,762.32x = 9,332.80 × 3,778.56
  4. Step 4: Simplify right side
    6,762.32x = 35,264,544.77
  5. Step 5: Solve for x
    x = 35,264,544.77/6,762.32
  6. Step 6: Final answer
    x = 5,214.86

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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.