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Finding the Fourth Proportional to 9,778, 14,667 and 4,306

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Solution

The fourth proportional to 9,778, 14,667 and 4,306 is: 6,459

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778 : 14,667 = 4,306 : x
  2. Step 2: Convert to fraction form
    9,778/14,667 = 4,306/x
  3. Step 3: Cross multiply
    9,778x = 14,667 × 4,306
  4. Step 4: Simplify right side
    9,778x = 63,156,102
  5. Step 5: Solve for x
    x = 63,156,102/9,778
  6. Step 6: Final answer
    x = 6,459

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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.