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Finding the Fourth Proportional to 11,494.84, 15,842.46 and 9,897.38

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Solution

The fourth proportional to 11,494.84, 15,842.46 and 9,897.38 is: 13,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.84 : 15,842.46 = 9,897.38 : x
  2. Step 2: Convert to fraction form
    11,494.84/15,842.46 = 9,897.38/x
  3. Step 3: Cross multiply
    11,494.84x = 15,842.46 × 9,897.38
  4. Step 4: Simplify right side
    11,494.84x = 156,798,846.75
  5. Step 5: Solve for x
    x = 156,798,846.75/11,494.84
  6. Step 6: Final answer
    x = 13,640.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.