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Finding the Fourth Proportional to 7,071.74, 9,761.63 and 6,073.01

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Solution

The fourth proportional to 7,071.74, 9,761.63 and 6,073.01 is: 8,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.74 : 9,761.63 = 6,073.01 : x
  2. Step 2: Convert to fraction form
    7,071.74/9,761.63 = 6,073.01/x
  3. Step 3: Cross multiply
    7,071.74x = 9,761.63 × 6,073.01
  4. Step 4: Simplify right side
    7,071.74x = 59,282,476.61
  5. Step 5: Solve for x
    x = 59,282,476.61/7,071.74
  6. Step 6: Final answer
    x = 8,383.01

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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.