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Finding the Fourth Proportional to 7,577.46, 10,441.17 and 7,080.66

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Solution

The fourth proportional to 7,577.46, 10,441.17 and 7,080.66 is: 9,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.46 : 10,441.17 = 7,080.66 : x
  2. Step 2: Convert to fraction form
    7,577.46/10,441.17 = 7,080.66/x
  3. Step 3: Cross multiply
    7,577.46x = 10,441.17 × 7,080.66
  4. Step 4: Simplify right side
    7,577.46x = 73,930,374.77
  5. Step 5: Solve for x
    x = 73,930,374.77/7,577.46
  6. Step 6: Final answer
    x = 9,756.62

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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.