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Finding the Fourth Proportional to 24,550.68, 36,826.86 and 6,782.64

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Solution

The fourth proportional to 24,550.68, 36,826.86 and 6,782.64 is: 10,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550.68 : 36,826.86 = 6,782.64 : x
  2. Step 2: Convert to fraction form
    24,550.68/36,826.86 = 6,782.64/x
  3. Step 3: Cross multiply
    24,550.68x = 36,826.86 × 6,782.64
  4. Step 4: Simplify right side
    24,550.68x = 249,783,333.71
  5. Step 5: Solve for x
    x = 249,783,333.71/24,550.68
  6. Step 6: Final answer
    x = 10,174.19

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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.