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Finding the Fourth Proportional to 10,964.70, 16,459.20 and 6,809.40

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Solution

The fourth proportional to 10,964.70, 16,459.20 and 6,809.40 is: 10,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.70 : 16,459.20 = 6,809.40 : x
  2. Step 2: Convert to fraction form
    10,964.70/16,459.20 = 6,809.40/x
  3. Step 3: Cross multiply
    10,964.70x = 16,459.20 × 6,809.40
  4. Step 4: Simplify right side
    10,964.70x = 112,077,276.48
  5. Step 5: Solve for x
    x = 112,077,276.48/10,964.70
  6. Step 6: Final answer
    x = 10,221.65

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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.