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Finding the Fourth Proportional to 22,112.64, 33,158.16 and 9,643.20

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Solution

The fourth proportional to 22,112.64, 33,158.16 and 9,643.20 is: 14,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,112.64 : 33,158.16 = 9,643.20 : x
  2. Step 2: Convert to fraction form
    22,112.64/33,158.16 = 9,643.20/x
  3. Step 3: Cross multiply
    22,112.64x = 33,158.16 × 9,643.20
  4. Step 4: Simplify right side
    22,112.64x = 319,750,768.51
  5. Step 5: Solve for x
    x = 319,750,768.51/22,112.64
  6. Step 6: Final answer
    x = 14,460.09

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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.