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Finding the Fourth Proportional to 12,362.14, 17,062.95 and 7,583.68

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Solution

The fourth proportional to 12,362.14, 17,062.95 and 7,583.68 is: 10,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.14 : 17,062.95 = 7,583.68 : x
  2. Step 2: Convert to fraction form
    12,362.14/17,062.95 = 7,583.68/x
  3. Step 3: Cross multiply
    12,362.14x = 17,062.95 × 7,583.68
  4. Step 4: Simplify right side
    12,362.14x = 129,399,952.66
  5. Step 5: Solve for x
    x = 129,399,952.66/12,362.14
  6. Step 6: Final answer
    x = 10,467.44

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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.