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Finding the Fourth Proportional to 8,966.84, 12,383.11 and 7,389.12

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Solution

The fourth proportional to 8,966.84, 12,383.11 and 7,389.12 is: 10,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.84 : 12,383.11 = 7,389.12 : x
  2. Step 2: Convert to fraction form
    8,966.84/12,383.11 = 7,389.12/x
  3. Step 3: Cross multiply
    8,966.84x = 12,383.11 × 7,389.12
  4. Step 4: Simplify right side
    8,966.84x = 91,500,186.90
  5. Step 5: Solve for x
    x = 91,500,186.90/8,966.84
  6. Step 6: Final answer
    x = 10,204.29

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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.