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Finding the Fourth Proportional to 10,662.71, 14,716.11 and 6,894.70

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Solution

The fourth proportional to 10,662.71, 14,716.11 and 6,894.70 is: 9,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.71 : 14,716.11 = 6,894.70 : x
  2. Step 2: Convert to fraction form
    10,662.71/14,716.11 = 6,894.70/x
  3. Step 3: Cross multiply
    10,662.71x = 14,716.11 × 6,894.70
  4. Step 4: Simplify right side
    10,662.71x = 101,463,090.04
  5. Step 5: Solve for x
    x = 101,463,090.04/10,662.71
  6. Step 6: Final answer
    x = 9,515.69

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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.