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Finding the Fourth Proportional to 25,308.72, 37,964.10 and 9,512.10

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Solution

The fourth proportional to 25,308.72, 37,964.10 and 9,512.10 is: 14,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308.72 : 37,964.10 = 9,512.10 : x
  2. Step 2: Convert to fraction form
    25,308.72/37,964.10 = 9,512.10/x
  3. Step 3: Cross multiply
    25,308.72x = 37,964.10 × 9,512.10
  4. Step 4: Simplify right side
    25,308.72x = 361,118,315.61
  5. Step 5: Solve for x
    x = 361,118,315.61/25,308.72
  6. Step 6: Final answer
    x = 14,268.53

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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.