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Finding the Fourth Proportional to 7,882.68, 11,825.25 and 2,953.02

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Solution

The fourth proportional to 7,882.68, 11,825.25 and 2,953.02 is: 4,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.68 : 11,825.25 = 2,953.02 : x
  2. Step 2: Convert to fraction form
    7,882.68/11,825.25 = 2,953.02/x
  3. Step 3: Cross multiply
    7,882.68x = 11,825.25 × 2,953.02
  4. Step 4: Simplify right side
    7,882.68x = 34,920,199.76
  5. Step 5: Solve for x
    x = 34,920,199.76/7,882.68
  6. Step 6: Final answer
    x = 4,429.99

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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.