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Finding the Fourth Proportional to 22,633.04, 33,953.32 and 9,486.40

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Solution

The fourth proportional to 22,633.04, 33,953.32 and 9,486.40 is: 14,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.04 : 33,953.32 = 9,486.40 : x
  2. Step 2: Convert to fraction form
    22,633.04/33,953.32 = 9,486.40/x
  3. Step 3: Cross multiply
    22,633.04x = 33,953.32 × 9,486.40
  4. Step 4: Simplify right side
    22,633.04x = 322,094,774.85
  5. Step 5: Solve for x
    x = 322,094,774.85/22,633.04
  6. Step 6: Final answer
    x = 14,231.18

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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.