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Finding the Fourth Proportional to 14,669, 22,003.50 and 6,461

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Solution

The fourth proportional to 14,669, 22,003.50 and 6,461 is: 9,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669 : 22,003.50 = 6,461 : x
  2. Step 2: Convert to fraction form
    14,669/22,003.50 = 6,461/x
  3. Step 3: Cross multiply
    14,669x = 22,003.50 × 6,461
  4. Step 4: Simplify right side
    14,669x = 142,164,613.50
  5. Step 5: Solve for x
    x = 142,164,613.50/14,669
  6. Step 6: Final answer
    x = 9,691.50

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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.