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Finding the Fourth Proportional to 24,865.79, 37,308.40 and 9,284.63

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Solution

The fourth proportional to 24,865.79, 37,308.40 and 9,284.63 is: 13,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.79 : 37,308.40 = 9,284.63 : x
  2. Step 2: Convert to fraction form
    24,865.79/37,308.40 = 9,284.63/x
  3. Step 3: Cross multiply
    24,865.79x = 37,308.40 × 9,284.63
  4. Step 4: Simplify right side
    24,865.79x = 346,394,480.14
  5. Step 5: Solve for x
    x = 346,394,480.14/24,865.79
  6. Step 6: Final answer
    x = 13,930.57

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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.