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Finding the Fourth Proportional to 11,746, 16,210.92 and 6,778

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Solution

The fourth proportional to 11,746, 16,210.92 and 6,778 is: 9,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 16,210.92 = 6,778 : x
  2. Step 2: Convert to fraction form
    11,746/16,210.92 = 6,778/x
  3. Step 3: Cross multiply
    11,746x = 16,210.92 × 6,778
  4. Step 4: Simplify right side
    11,746x = 109,877,615.76
  5. Step 5: Solve for x
    x = 109,877,615.76/11,746
  6. Step 6: Final answer
    x = 9,354.47

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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.