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Finding the Fourth Proportional to 6,809.47, 9,398.08 and 4,158.41

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Solution

The fourth proportional to 6,809.47, 9,398.08 and 4,158.41 is: 5,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.47 : 9,398.08 = 4,158.41 : x
  2. Step 2: Convert to fraction form
    6,809.47/9,398.08 = 4,158.41/x
  3. Step 3: Cross multiply
    6,809.47x = 9,398.08 × 4,158.41
  4. Step 4: Simplify right side
    6,809.47x = 39,081,059.46
  5. Step 5: Solve for x
    x = 39,081,059.46/6,809.47
  6. Step 6: Final answer
    x = 5,739.23

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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.