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Finding the Fourth Proportional to 10,497.15, 14,489.04 and 6,914.72

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Solution

The fourth proportional to 10,497.15, 14,489.04 and 6,914.72 is: 9,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.15 : 14,489.04 = 6,914.72 : x
  2. Step 2: Convert to fraction form
    10,497.15/14,489.04 = 6,914.72/x
  3. Step 3: Cross multiply
    10,497.15x = 14,489.04 × 6,914.72
  4. Step 4: Simplify right side
    10,497.15x = 100,187,716.82
  5. Step 5: Solve for x
    x = 100,187,716.82/10,497.15
  6. Step 6: Final answer
    x = 9,544.28

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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.