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Finding the Fourth Proportional to 20,497.59, 30,750.71 and 6,461.61

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Solution

The fourth proportional to 20,497.59, 30,750.71 and 6,461.61 is: 9,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.59 : 30,750.71 = 6,461.61 : x
  2. Step 2: Convert to fraction form
    20,497.59/30,750.71 = 6,461.61/x
  3. Step 3: Cross multiply
    20,497.59x = 30,750.71 × 6,461.61
  4. Step 4: Simplify right side
    20,497.59x = 198,698,947.62
  5. Step 5: Solve for x
    x = 198,698,947.62/20,497.59
  6. Step 6: Final answer
    x = 9,693.77

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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.