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Finding the Fourth Proportional to 12,253, 16,909.16 and 6,664

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Solution

The fourth proportional to 12,253, 16,909.16 and 6,664 is: 9,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253 : 16,909.16 = 6,664 : x
  2. Step 2: Convert to fraction form
    12,253/16,909.16 = 6,664/x
  3. Step 3: Cross multiply
    12,253x = 16,909.16 × 6,664
  4. Step 4: Simplify right side
    12,253x = 112,682,642.24
  5. Step 5: Solve for x
    x = 112,682,642.24/12,253
  6. Step 6: Final answer
    x = 9,196.33

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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.