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Finding the Fourth Proportional to 9,747, 13,446 and 6,210

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Solution

The fourth proportional to 9,747, 13,446 and 6,210 is: 8,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747 : 13,446 = 6,210 : x
  2. Step 2: Convert to fraction form
    9,747/13,446 = 6,210/x
  3. Step 3: Cross multiply
    9,747x = 13,446 × 6,210
  4. Step 4: Simplify right side
    9,747x = 83,499,660
  5. Step 5: Solve for x
    x = 83,499,660/9,747
  6. Step 6: Final answer
    x = 8,566.70

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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.