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Finding the Fourth Proportional to 20,497.60, 30,746.34 and 6,458.80

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Solution

The fourth proportional to 20,497.60, 30,746.34 and 6,458.80 is: 9,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.60 : 30,746.34 = 6,458.80 : x
  2. Step 2: Convert to fraction form
    20,497.60/30,746.34 = 6,458.80/x
  3. Step 3: Cross multiply
    20,497.60x = 30,746.34 × 6,458.80
  4. Step 4: Simplify right side
    20,497.60x = 198,584,460.79
  5. Step 5: Solve for x
    x = 198,584,460.79/20,497.60
  6. Step 6: Final answer
    x = 9,688.18

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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.