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Finding the Fourth Proportional to 13,057.88, 19,588.98 and 6,484.28

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Solution

The fourth proportional to 13,057.88, 19,588.98 and 6,484.28 is: 9,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.88 : 19,588.98 = 6,484.28 : x
  2. Step 2: Convert to fraction form
    13,057.88/19,588.98 = 6,484.28/x
  3. Step 3: Cross multiply
    13,057.88x = 19,588.98 × 6,484.28
  4. Step 4: Simplify right side
    13,057.88x = 127,020,431.23
  5. Step 5: Solve for x
    x = 127,020,431.23/13,057.88
  6. Step 6: Final answer
    x = 9,727.49

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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.