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Finding the Fourth Proportional to 6,650.32, 9,977.28 and 5,429.20

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Solution

The fourth proportional to 6,650.32, 9,977.28 and 5,429.20 is: 8,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.32 : 9,977.28 = 5,429.20 : x
  2. Step 2: Convert to fraction form
    6,650.32/9,977.28 = 5,429.20/x
  3. Step 3: Cross multiply
    6,650.32x = 9,977.28 × 5,429.20
  4. Step 4: Simplify right side
    6,650.32x = 54,168,648.58
  5. Step 5: Solve for x
    x = 54,168,648.58/6,650.32
  6. Step 6: Final answer
    x = 8,145.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.