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Finding the Fourth Proportional to 9,658.06, 14,471.97 and 7,709.74

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Solution

The fourth proportional to 9,658.06, 14,471.97 and 7,709.74 is: 11,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.06 : 14,471.97 = 7,709.74 : x
  2. Step 2: Convert to fraction form
    9,658.06/14,471.97 = 7,709.74/x
  3. Step 3: Cross multiply
    9,658.06x = 14,471.97 × 7,709.74
  4. Step 4: Simplify right side
    9,658.06x = 111,575,125.99
  5. Step 5: Solve for x
    x = 111,575,125.99/9,658.06
  6. Step 6: Final answer
    x = 11,552.54

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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.