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Finding the Fourth Proportional to 24,597.75, 36,900.23 and 7,952.25

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Solution

The fourth proportional to 24,597.75, 36,900.23 and 7,952.25 is: 11,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.75 : 36,900.23 = 7,952.25 : x
  2. Step 2: Convert to fraction form
    24,597.75/36,900.23 = 7,952.25/x
  3. Step 3: Cross multiply
    24,597.75x = 36,900.23 × 7,952.25
  4. Step 4: Simplify right side
    24,597.75x = 293,439,814.26
  5. Step 5: Solve for x
    x = 293,439,814.26/24,597.75
  6. Step 6: Final answer
    x = 11,929.54

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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.