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Finding the Fourth Proportional to 6,894.06, 9,512.31 and 4,059.47

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Solution

The fourth proportional to 6,894.06, 9,512.31 and 4,059.47 is: 5,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.06 : 9,512.31 = 4,059.47 : x
  2. Step 2: Convert to fraction form
    6,894.06/9,512.31 = 4,059.47/x
  3. Step 3: Cross multiply
    6,894.06x = 9,512.31 × 4,059.47
  4. Step 4: Simplify right side
    6,894.06x = 38,614,911.16
  5. Step 5: Solve for x
    x = 38,614,911.16/6,894.06
  6. Step 6: Final answer
    x = 5,601.18

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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.