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Finding the Fourth Proportional to 22,047.76, 33,071.91 and 6,465.70

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Solution

The fourth proportional to 22,047.76, 33,071.91 and 6,465.70 is: 9,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.76 : 33,071.91 = 6,465.70 : x
  2. Step 2: Convert to fraction form
    22,047.76/33,071.91 = 6,465.70/x
  3. Step 3: Cross multiply
    22,047.76x = 33,071.91 × 6,465.70
  4. Step 4: Simplify right side
    22,047.76x = 213,833,048.49
  5. Step 5: Solve for x
    x = 213,833,048.49/22,047.76
  6. Step 6: Final answer
    x = 9,698.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.