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Finding the Fourth Proportional to 25,321.79, 37,987.14 and 9,738.20

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Solution

The fourth proportional to 25,321.79, 37,987.14 and 9,738.20 is: 14,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321.79 : 37,987.14 = 9,738.20 : x
  2. Step 2: Convert to fraction form
    25,321.79/37,987.14 = 9,738.20/x
  3. Step 3: Cross multiply
    25,321.79x = 37,987.14 × 9,738.20
  4. Step 4: Simplify right side
    25,321.79x = 369,926,498.23
  5. Step 5: Solve for x
    x = 369,926,498.23/25,321.79
  6. Step 6: Final answer
    x = 14,609.02

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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.