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Finding the Fourth Proportional to 25,498.99, 38,253.89 and 7,970.14

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Solution

The fourth proportional to 25,498.99, 38,253.89 and 7,970.14 is: 11,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498.99 : 38,253.89 = 7,970.14 : x
  2. Step 2: Convert to fraction form
    25,498.99/38,253.89 = 7,970.14/x
  3. Step 3: Cross multiply
    25,498.99x = 38,253.89 × 7,970.14
  4. Step 4: Simplify right side
    25,498.99x = 304,888,858.84
  5. Step 5: Solve for x
    x = 304,888,858.84/25,498.99
  6. Step 6: Final answer
    x = 11,956.90

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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.