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Finding the Fourth Proportional to 10,097.46, 13,936.32 and 8,416.17

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Solution

The fourth proportional to 10,097.46, 13,936.32 and 8,416.17 is: 11,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.46 : 13,936.32 = 8,416.17 : x
  2. Step 2: Convert to fraction form
    10,097.46/13,936.32 = 8,416.17/x
  3. Step 3: Cross multiply
    10,097.46x = 13,936.32 × 8,416.17
  4. Step 4: Simplify right side
    10,097.46x = 117,290,438.29
  5. Step 5: Solve for x
    x = 117,290,438.29/10,097.46
  6. Step 6: Final answer
    x = 11,615.84

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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.