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Finding the Fourth Proportional to 7,657.67, 10,577.72 and 5,678.43

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Solution

The fourth proportional to 7,657.67, 10,577.72 and 5,678.43 is: 7,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.67 : 10,577.72 = 5,678.43 : x
  2. Step 2: Convert to fraction form
    7,657.67/10,577.72 = 5,678.43/x
  3. Step 3: Cross multiply
    7,657.67x = 10,577.72 × 5,678.43
  4. Step 4: Simplify right side
    7,657.67x = 60,064,814.19
  5. Step 5: Solve for x
    x = 60,064,814.19/7,657.67
  6. Step 6: Final answer
    x = 7,843.75

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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.