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Finding the Fourth Proportional to 13,497.45, 20,240.10 and 6,098.10

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Solution

The fourth proportional to 13,497.45, 20,240.10 and 6,098.10 is: 9,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.45 : 20,240.10 = 6,098.10 : x
  2. Step 2: Convert to fraction form
    13,497.45/20,240.10 = 6,098.10/x
  3. Step 3: Cross multiply
    13,497.45x = 20,240.10 × 6,098.10
  4. Step 4: Simplify right side
    13,497.45x = 123,426,153.81
  5. Step 5: Solve for x
    x = 123,426,153.81/13,497.45
  6. Step 6: Final answer
    x = 9,144.41

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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.