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Finding the Fourth Proportional to 24,506.42, 36,758.61 and 7,867.40

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Solution

The fourth proportional to 24,506.42, 36,758.61 and 7,867.40 is: 11,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.42 : 36,758.61 = 7,867.40 : x
  2. Step 2: Convert to fraction form
    24,506.42/36,758.61 = 7,867.40/x
  3. Step 3: Cross multiply
    24,506.42x = 36,758.61 × 7,867.40
  4. Step 4: Simplify right side
    24,506.42x = 289,194,504.52
  5. Step 5: Solve for x
    x = 289,194,504.52/24,506.42
  6. Step 6: Final answer
    x = 11,800.77

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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.