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Finding the Fourth Proportional to 6,657.68, 9,188.70 and 5,069.58

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Solution

The fourth proportional to 6,657.68, 9,188.70 and 5,069.58 is: 6,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.68 : 9,188.70 = 5,069.58 : x
  2. Step 2: Convert to fraction form
    6,657.68/9,188.70 = 5,069.58/x
  3. Step 3: Cross multiply
    6,657.68x = 9,188.70 × 5,069.58
  4. Step 4: Simplify right side
    6,657.68x = 46,582,849.75
  5. Step 5: Solve for x
    x = 46,582,849.75/6,657.68
  6. Step 6: Final answer
    x = 6,996.86

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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.