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Finding the Fourth Proportional to 7,573.77, 10,450.77 and 4,216.14

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Solution

The fourth proportional to 7,573.77, 10,450.77 and 4,216.14 is: 5,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.77 : 10,450.77 = 4,216.14 : x
  2. Step 2: Convert to fraction form
    7,573.77/10,450.77 = 4,216.14/x
  3. Step 3: Cross multiply
    7,573.77x = 10,450.77 × 4,216.14
  4. Step 4: Simplify right side
    7,573.77x = 44,061,909.43
  5. Step 5: Solve for x
    x = 44,061,909.43/7,573.77
  6. Step 6: Final answer
    x = 5,817.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.