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Finding the Fourth Proportional to 24,594.30, 36,888.48 and 6,826.14

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Solution

The fourth proportional to 24,594.30, 36,888.48 and 6,826.14 is: 10,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.30 : 36,888.48 = 6,826.14 : x
  2. Step 2: Convert to fraction form
    24,594.30/36,888.48 = 6,826.14/x
  3. Step 3: Cross multiply
    24,594.30x = 36,888.48 × 6,826.14
  4. Step 4: Simplify right side
    24,594.30x = 251,805,928.87
  5. Step 5: Solve for x
    x = 251,805,928.87/24,594.30
  6. Step 6: Final answer
    x = 10,238.39

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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.