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Finding the Fourth Proportional to 11,384.84, 15,712.62 and 6,671

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Solution

The fourth proportional to 11,384.84, 15,712.62 and 6,671 is: 9,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.84 : 15,712.62 = 6,671 : x
  2. Step 2: Convert to fraction form
    11,384.84/15,712.62 = 6,671/x
  3. Step 3: Cross multiply
    11,384.84x = 15,712.62 × 6,671
  4. Step 4: Simplify right side
    11,384.84x = 104,818,888.02
  5. Step 5: Solve for x
    x = 104,818,888.02/11,384.84
  6. Step 6: Final answer
    x = 9,206.88

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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.