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Finding the Fourth Proportional to 11,384.82, 15,712.68 and 6,669.20

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Solution

The fourth proportional to 11,384.82, 15,712.68 and 6,669.20 is: 9,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.82 : 15,712.68 = 6,669.20 : x
  2. Step 2: Convert to fraction form
    11,384.82/15,712.68 = 6,669.20/x
  3. Step 3: Cross multiply
    11,384.82x = 15,712.68 × 6,669.20
  4. Step 4: Simplify right side
    11,384.82x = 104,791,069.75
  5. Step 5: Solve for x
    x = 104,791,069.75/11,384.82
  6. Step 6: Final answer
    x = 9,204.46

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1.5x scale

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.