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Finding the Fourth Proportional to 22,178.98, 33,254.63 and 7,384.10

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Solution

The fourth proportional to 22,178.98, 33,254.63 and 7,384.10 is: 11,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.98 : 33,254.63 = 7,384.10 : x
  2. Step 2: Convert to fraction form
    22,178.98/33,254.63 = 7,384.10/x
  3. Step 3: Cross multiply
    22,178.98x = 33,254.63 × 7,384.10
  4. Step 4: Simplify right side
    22,178.98x = 245,555,513.38
  5. Step 5: Solve for x
    x = 245,555,513.38/22,178.98
  6. Step 6: Final answer
    x = 11,071.54

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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.