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Finding the Fourth Proportional to 22,264.16, 33,384.06 and 9,105.71

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Solution

The fourth proportional to 22,264.16, 33,384.06 and 9,105.71 is: 13,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.16 : 33,384.06 = 9,105.71 : x
  2. Step 2: Convert to fraction form
    22,264.16/33,384.06 = 9,105.71/x
  3. Step 3: Cross multiply
    22,264.16x = 33,384.06 × 9,105.71
  4. Step 4: Simplify right side
    22,264.16x = 303,985,402.06
  5. Step 5: Solve for x
    x = 303,985,402.06/22,264.16
  6. Step 6: Final answer
    x = 13,653.58

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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.