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Finding the Fourth Proportional to 10,694.40, 16,041.60 and 6,806.40

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Solution

The fourth proportional to 10,694.40, 16,041.60 and 6,806.40 is: 10,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.40 : 16,041.60 = 6,806.40 : x
  2. Step 2: Convert to fraction form
    10,694.40/16,041.60 = 6,806.40/x
  3. Step 3: Cross multiply
    10,694.40x = 16,041.60 × 6,806.40
  4. Step 4: Simplify right side
    10,694.40x = 109,185,546.24
  5. Step 5: Solve for x
    x = 109,185,546.24/10,694.40
  6. Step 6: Final answer
    x = 10,209.60

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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.