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Finding the Fourth Proportional to 12,265.84, 16,913.10 and 7,783.84

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Solution

The fourth proportional to 12,265.84, 16,913.10 and 7,783.84 is: 10,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.84 : 16,913.10 = 7,783.84 : x
  2. Step 2: Convert to fraction form
    12,265.84/16,913.10 = 7,783.84/x
  3. Step 3: Cross multiply
    12,265.84x = 16,913.10 × 7,783.84
  4. Step 4: Simplify right side
    12,265.84x = 131,648,864.30
  5. Step 5: Solve for x
    x = 131,648,864.30/12,265.84
  6. Step 6: Final answer
    x = 10,732.97

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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.