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Finding the Fourth Proportional to 12,993, 19,471.14 and 6,410.04

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Solution

The fourth proportional to 12,993, 19,471.14 and 6,410.04 is: 9,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993 : 19,471.14 = 6,410.04 : x
  2. Step 2: Convert to fraction form
    12,993/19,471.14 = 6,410.04/x
  3. Step 3: Cross multiply
    12,993x = 19,471.14 × 6,410.04
  4. Step 4: Simplify right side
    12,993x = 124,810,786.25
  5. Step 5: Solve for x
    x = 124,810,786.25/12,993
  6. Step 6: Final answer
    x = 9,606.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.