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Finding the Fourth Proportional to 20,553.87, 30,830.82 and 4,971.50

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Solution

The fourth proportional to 20,553.87, 30,830.82 and 4,971.50 is: 7,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.87 : 30,830.82 = 4,971.50 : x
  2. Step 2: Convert to fraction form
    20,553.87/30,830.82 = 4,971.50/x
  3. Step 3: Cross multiply
    20,553.87x = 30,830.82 × 4,971.50
  4. Step 4: Simplify right side
    20,553.87x = 153,275,267.48
  5. Step 5: Solve for x
    x = 153,275,267.48/20,553.87
  6. Step 6: Final answer
    x = 7,457.25

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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.