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Finding the Fourth Proportional to 9,658.97, 14,492.61 and 5,215.75

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Solution

The fourth proportional to 9,658.97, 14,492.61 and 5,215.75 is: 7,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.97 : 14,492.61 = 5,215.75 : x
  2. Step 2: Convert to fraction form
    9,658.97/14,492.61 = 5,215.75/x
  3. Step 3: Cross multiply
    9,658.97x = 14,492.61 × 5,215.75
  4. Step 4: Simplify right side
    9,658.97x = 75,589,784.38
  5. Step 5: Solve for x
    x = 75,589,784.38/9,658.97
  6. Step 6: Final answer
    x = 7,825.87

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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.