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Finding the Fourth Proportional to 6,499.97, 8,970.96 and 4,268.31

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Solution

The fourth proportional to 6,499.97, 8,970.96 and 4,268.31 is: 5,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.97 : 8,970.96 = 4,268.31 : x
  2. Step 2: Convert to fraction form
    6,499.97/8,970.96 = 4,268.31/x
  3. Step 3: Cross multiply
    6,499.97x = 8,970.96 × 4,268.31
  4. Step 4: Simplify right side
    6,499.97x = 38,290,838.28
  5. Step 5: Solve for x
    x = 38,290,838.28/6,499.97
  6. Step 6: Final answer
    x = 5,890.93

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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.