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Finding the Fourth Proportional to 6,772.54, 9,345.09 and 3,977.50

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Solution

The fourth proportional to 6,772.54, 9,345.09 and 3,977.50 is: 5,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.54 : 9,345.09 = 3,977.50 : x
  2. Step 2: Convert to fraction form
    6,772.54/9,345.09 = 3,977.50/x
  3. Step 3: Cross multiply
    6,772.54x = 9,345.09 × 3,977.50
  4. Step 4: Simplify right side
    6,772.54x = 37,170,095.48
  5. Step 5: Solve for x
    x = 37,170,095.48/6,772.54
  6. Step 6: Final answer
    x = 5,488.35

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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.