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Finding the Fourth Proportional to 20,348.68, 30,522.66 and 6,497.68

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Solution

The fourth proportional to 20,348.68, 30,522.66 and 6,497.68 is: 9,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.68 : 30,522.66 = 6,497.68 : x
  2. Step 2: Convert to fraction form
    20,348.68/30,522.66 = 6,497.68/x
  3. Step 3: Cross multiply
    20,348.68x = 30,522.66 × 6,497.68
  4. Step 4: Simplify right side
    20,348.68x = 198,326,477.43
  5. Step 5: Solve for x
    x = 198,326,477.43/20,348.68
  6. Step 6: Final answer
    x = 9,746.41

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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.