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Finding the Fourth Proportional to 24,426.59, 36,642.54 and 7,782.71

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Solution

The fourth proportional to 24,426.59, 36,642.54 and 7,782.71 is: 11,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426.59 : 36,642.54 = 7,782.71 : x
  2. Step 2: Convert to fraction form
    24,426.59/36,642.54 = 7,782.71/x
  3. Step 3: Cross multiply
    24,426.59x = 36,642.54 × 7,782.71
  4. Step 4: Simplify right side
    24,426.59x = 285,178,079.27
  5. Step 5: Solve for x
    x = 285,178,079.27/24,426.59
  6. Step 6: Final answer
    x = 11,674.91

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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.