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Finding the Fourth Proportional to 11,283.40, 16,892.70 and 6,909.40

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Solution

The fourth proportional to 11,283.40, 16,892.70 and 6,909.40 is: 10,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.40 : 16,892.70 = 6,909.40 : x
  2. Step 2: Convert to fraction form
    11,283.40/16,892.70 = 6,909.40/x
  3. Step 3: Cross multiply
    11,283.40x = 16,892.70 × 6,909.40
  4. Step 4: Simplify right side
    11,283.40x = 116,718,421.38
  5. Step 5: Solve for x
    x = 116,718,421.38/11,283.40
  6. Step 6: Final answer
    x = 10,344.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.