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Finding the Fourth Proportional to 20,281.50, 30,422.25 and 6,430.50

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Solution

The fourth proportional to 20,281.50, 30,422.25 and 6,430.50 is: 9,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.50 : 30,422.25 = 6,430.50 : x
  2. Step 2: Convert to fraction form
    20,281.50/30,422.25 = 6,430.50/x
  3. Step 3: Cross multiply
    20,281.50x = 30,422.25 × 6,430.50
  4. Step 4: Simplify right side
    20,281.50x = 195,630,278.63
  5. Step 5: Solve for x
    x = 195,630,278.63/20,281.50
  6. Step 6: Final answer
    x = 9,645.75

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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.