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Finding the Fourth Proportional to 14,704, 22,058.88 and 6,496

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Solution

The fourth proportional to 14,704, 22,058.88 and 6,496 is: 9,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704 : 22,058.88 = 6,496 : x
  2. Step 2: Convert to fraction form
    14,704/22,058.88 = 6,496/x
  3. Step 3: Cross multiply
    14,704x = 22,058.88 × 6,496
  4. Step 4: Simplify right side
    14,704x = 143,294,484.48
  5. Step 5: Solve for x
    x = 143,294,484.48/14,704
  6. Step 6: Final answer
    x = 9,745.27

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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.