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Finding the Fourth Proportional to 11,658.47, 17,495.90 and 7,964.26

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Solution

The fourth proportional to 11,658.47, 17,495.90 and 7,964.26 is: 11,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.47 : 17,495.90 = 7,964.26 : x
  2. Step 2: Convert to fraction form
    11,658.47/17,495.90 = 7,964.26/x
  3. Step 3: Cross multiply
    11,658.47x = 17,495.90 × 7,964.26
  4. Step 4: Simplify right side
    11,658.47x = 139,341,842.84
  5. Step 5: Solve for x
    x = 139,341,842.84/11,658.47
  6. Step 6: Final answer
    x = 11,951.99

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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.