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Finding the Fourth Proportional to 7,577.82, 11,366.82 and 2,899.98

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Solution

The fourth proportional to 7,577.82, 11,366.82 and 2,899.98 is: 4,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.82 : 11,366.82 = 2,899.98 : x
  2. Step 2: Convert to fraction form
    7,577.82/11,366.82 = 2,899.98/x
  3. Step 3: Cross multiply
    7,577.82x = 11,366.82 × 2,899.98
  4. Step 4: Simplify right side
    7,577.82x = 32,963,550.66
  5. Step 5: Solve for x
    x = 32,963,550.66/7,577.82
  6. Step 6: Final answer
    x = 4,350.00

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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.