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Finding the Fourth Proportional to 6,464.92, 8,966.93 and 6,202.48

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Solution

The fourth proportional to 6,464.92, 8,966.93 and 6,202.48 is: 8,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.92 : 8,966.93 = 6,202.48 : x
  2. Step 2: Convert to fraction form
    6,464.92/8,966.93 = 6,202.48/x
  3. Step 3: Cross multiply
    6,464.92x = 8,966.93 × 6,202.48
  4. Step 4: Simplify right side
    6,464.92x = 55,617,203.99
  5. Step 5: Solve for x
    x = 55,617,203.99/6,464.92
  6. Step 6: Final answer
    x = 8,602.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.