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Finding the Fourth Proportional to 6,809.06, 9,397.52 and 4,157.99

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Solution

The fourth proportional to 6,809.06, 9,397.52 and 4,157.99 is: 5,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.06 : 9,397.52 = 4,157.99 : x
  2. Step 2: Convert to fraction form
    6,809.06/9,397.52 = 4,157.99/x
  3. Step 3: Cross multiply
    6,809.06x = 9,397.52 × 4,157.99
  4. Step 4: Simplify right side
    6,809.06x = 39,074,812.48
  5. Step 5: Solve for x
    x = 39,074,812.48/6,809.06
  6. Step 6: Final answer
    x = 5,738.65

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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.