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Finding the Fourth Proportional to 9,582.97, 13,220.74 and 7,071.11

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Solution

The fourth proportional to 9,582.97, 13,220.74 and 7,071.11 is: 9,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.97 : 13,220.74 = 7,071.11 : x
  2. Step 2: Convert to fraction form
    9,582.97/13,220.74 = 7,071.11/x
  3. Step 3: Cross multiply
    9,582.97x = 13,220.74 × 7,071.11
  4. Step 4: Simplify right side
    9,582.97x = 93,485,306.82
  5. Step 5: Solve for x
    x = 93,485,306.82/9,582.97
  6. Step 6: Final answer
    x = 9,755.36

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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.