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Finding the Fourth Proportional to 7,657.88, 10,566.98 and 4,299.96

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Solution

The fourth proportional to 7,657.88, 10,566.98 and 4,299.96 is: 5,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.88 : 10,566.98 = 4,299.96 : x
  2. Step 2: Convert to fraction form
    7,657.88/10,566.98 = 4,299.96/x
  3. Step 3: Cross multiply
    7,657.88x = 10,566.98 × 4,299.96
  4. Step 4: Simplify right side
    7,657.88x = 45,437,591.32
  5. Step 5: Solve for x
    x = 45,437,591.32/7,657.88
  6. Step 6: Final answer
    x = 5,933.44

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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.