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Finding the Fourth Proportional to 6,329.16, 8,722.64 and 4,200.93

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Solution

The fourth proportional to 6,329.16, 8,722.64 and 4,200.93 is: 5,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.16 : 8,722.64 = 4,200.93 : x
  2. Step 2: Convert to fraction form
    6,329.16/8,722.64 = 4,200.93/x
  3. Step 3: Cross multiply
    6,329.16x = 8,722.64 × 4,200.93
  4. Step 4: Simplify right side
    6,329.16x = 36,643,210.56
  5. Step 5: Solve for x
    x = 36,643,210.56/6,329.16
  6. Step 6: Final answer
    x = 5,789.59

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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.