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Finding the Fourth Proportional to 24,597, 36,899.10 and 7,951.50

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Solution

The fourth proportional to 24,597, 36,899.10 and 7,951.50 is: 11,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597 : 36,899.10 = 7,951.50 : x
  2. Step 2: Convert to fraction form
    24,597/36,899.10 = 7,951.50/x
  3. Step 3: Cross multiply
    24,597x = 36,899.10 × 7,951.50
  4. Step 4: Simplify right side
    24,597x = 293,403,193.65
  5. Step 5: Solve for x
    x = 293,403,193.65/24,597
  6. Step 6: Final answer
    x = 11,928.41

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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.