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Finding the Fourth Proportional to 13,598.19, 20,405.97 and 5,806.98

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Solution

The fourth proportional to 13,598.19, 20,405.97 and 5,806.98 is: 8,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.19 : 20,405.97 = 5,806.98 : x
  2. Step 2: Convert to fraction form
    13,598.19/20,405.97 = 5,806.98/x
  3. Step 3: Cross multiply
    13,598.19x = 20,405.97 × 5,806.98
  4. Step 4: Simplify right side
    13,598.19x = 118,497,059.67
  5. Step 5: Solve for x
    x = 118,497,059.67/13,598.19
  6. Step 6: Final answer
    x = 8,714.18

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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.