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Finding the Fourth Proportional to 22,596.16, 33,909.88 and 7,805.20

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Solution

The fourth proportional to 22,596.16, 33,909.88 and 7,805.20 is: 11,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.16 : 33,909.88 = 7,805.20 : x
  2. Step 2: Convert to fraction form
    22,596.16/33,909.88 = 7,805.20/x
  3. Step 3: Cross multiply
    22,596.16x = 33,909.88 × 7,805.20
  4. Step 4: Simplify right side
    22,596.16x = 264,673,225.83
  5. Step 5: Solve for x
    x = 264,673,225.83/22,596.16
  6. Step 6: Final answer
    x = 11,713.20

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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.