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Finding the Fourth Proportional to 20,357.14, 30,534.62 and 6,506.14

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Solution

The fourth proportional to 20,357.14, 30,534.62 and 6,506.14 is: 9,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.14 : 30,534.62 = 6,506.14 : x
  2. Step 2: Convert to fraction form
    20,357.14/30,534.62 = 6,506.14/x
  3. Step 3: Cross multiply
    20,357.14x = 30,534.62 × 6,506.14
  4. Step 4: Simplify right side
    20,357.14x = 198,662,359.89
  5. Step 5: Solve for x
    x = 198,662,359.89/20,357.14
  6. Step 6: Final answer
    x = 9,758.86

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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.