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Finding the Fourth Proportional to 14,003.77, 19,325.42 and 7,716.14

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Solution

The fourth proportional to 14,003.77, 19,325.42 and 7,716.14 is: 10,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.77 : 19,325.42 = 7,716.14 : x
  2. Step 2: Convert to fraction form
    14,003.77/19,325.42 = 7,716.14/x
  3. Step 3: Cross multiply
    14,003.77x = 19,325.42 × 7,716.14
  4. Step 4: Simplify right side
    14,003.77x = 149,117,646.28
  5. Step 5: Solve for x
    x = 149,117,646.28/14,003.77
  6. Step 6: Final answer
    x = 10,648.39

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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.