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Finding the Fourth Proportional to 6,756.52, 9,322.86 and 3,772.24

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Solution

The fourth proportional to 6,756.52, 9,322.86 and 3,772.24 is: 5,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.52 : 9,322.86 = 3,772.24 : x
  2. Step 2: Convert to fraction form
    6,756.52/9,322.86 = 3,772.24/x
  3. Step 3: Cross multiply
    6,756.52x = 9,322.86 × 3,772.24
  4. Step 4: Simplify right side
    6,756.52x = 35,168,065.41
  5. Step 5: Solve for x
    x = 35,168,065.41/6,756.52
  6. Step 6: Final answer
    x = 5,205.06

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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.