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Finding the Fourth Proportional to 24,815.70, 37,223.25 and 7,284.90

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Solution

The fourth proportional to 24,815.70, 37,223.25 and 7,284.90 is: 10,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.70 : 37,223.25 = 7,284.90 : x
  2. Step 2: Convert to fraction form
    24,815.70/37,223.25 = 7,284.90/x
  3. Step 3: Cross multiply
    24,815.70x = 37,223.25 × 7,284.90
  4. Step 4: Simplify right side
    24,815.70x = 271,167,653.93
  5. Step 5: Solve for x
    x = 271,167,653.93/24,815.70
  6. Step 6: Final answer
    x = 10,927.26

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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.