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Finding the Fourth Proportional to 22,152.76, 33,223.48 and 6,566.76

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Solution

The fourth proportional to 22,152.76, 33,223.48 and 6,566.76 is: 9,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.76 : 33,223.48 = 6,566.76 : x
  2. Step 2: Convert to fraction form
    22,152.76/33,223.48 = 6,566.76/x
  3. Step 3: Cross multiply
    22,152.76x = 33,223.48 × 6,566.76
  4. Step 4: Simplify right side
    22,152.76x = 218,170,619.52
  5. Step 5: Solve for x
    x = 218,170,619.52/22,152.76
  6. Step 6: Final answer
    x = 9,848.46

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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.