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Finding the Fourth Proportional to 24,357.87, 36,538.12 and 6,829.07

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Solution

The fourth proportional to 24,357.87, 36,538.12 and 6,829.07 is: 10,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.87 : 36,538.12 = 6,829.07 : x
  2. Step 2: Convert to fraction form
    24,357.87/36,538.12 = 6,829.07/x
  3. Step 3: Cross multiply
    24,357.87x = 36,538.12 × 6,829.07
  4. Step 4: Simplify right side
    24,357.87x = 249,521,204.99
  5. Step 5: Solve for x
    x = 249,521,204.99/24,357.87
  6. Step 6: Final answer
    x = 10,243.97

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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.