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Finding the Fourth Proportional to 20,281.76, 30,427.50 and 6,430.76

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Solution

The fourth proportional to 20,281.76, 30,427.50 and 6,430.76 is: 9,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.76 : 30,427.50 = 6,430.76 : x
  2. Step 2: Convert to fraction form
    20,281.76/30,427.50 = 6,430.76/x
  3. Step 3: Cross multiply
    20,281.76x = 30,427.50 × 6,430.76
  4. Step 4: Simplify right side
    20,281.76x = 195,671,949.90
  5. Step 5: Solve for x
    x = 195,671,949.90/20,281.76
  6. Step 6: Final answer
    x = 9,647.68

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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.