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Finding the Fourth Proportional to 15,233.70, 22,850.55 and 7,457.70

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Solution

The fourth proportional to 15,233.70, 22,850.55 and 7,457.70 is: 11,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.70 : 22,850.55 = 7,457.70 : x
  2. Step 2: Convert to fraction form
    15,233.70/22,850.55 = 7,457.70/x
  3. Step 3: Cross multiply
    15,233.70x = 22,850.55 × 7,457.70
  4. Step 4: Simplify right side
    15,233.70x = 170,412,546.74
  5. Step 5: Solve for x
    x = 170,412,546.74/15,233.70
  6. Step 6: Final answer
    x = 11,186.55

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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.