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Finding the Fourth Proportional to 13,599.46, 20,405.46 and 6,206.18

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Solution

The fourth proportional to 13,599.46, 20,405.46 and 6,206.18 is: 9,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.46 : 20,405.46 = 6,206.18 : x
  2. Step 2: Convert to fraction form
    13,599.46/20,405.46 = 6,206.18/x
  3. Step 3: Cross multiply
    13,599.46x = 20,405.46 × 6,206.18
  4. Step 4: Simplify right side
    13,599.46x = 126,640,008.76
  5. Step 5: Solve for x
    x = 126,640,008.76/13,599.46
  6. Step 6: Final answer
    x = 9,312.14

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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.