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Finding the Fourth Proportional to 24,845.35, 37,271.71 and 8,207.14

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Solution

The fourth proportional to 24,845.35, 37,271.71 and 8,207.14 is: 12,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,845.35 : 37,271.71 = 8,207.14 : x
  2. Step 2: Convert to fraction form
    24,845.35/37,271.71 = 8,207.14/x
  3. Step 3: Cross multiply
    24,845.35x = 37,271.71 × 8,207.14
  4. Step 4: Simplify right side
    24,845.35x = 305,893,955.65
  5. Step 5: Solve for x
    x = 305,893,955.65/24,845.35
  6. Step 6: Final answer
    x = 12,311.92

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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.