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Finding the Fourth Proportional to 7,678.66, 10,593.84 and 5,027.53

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Solution

The fourth proportional to 7,678.66, 10,593.84 and 5,027.53 is: 6,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.66 : 10,593.84 = 5,027.53 : x
  2. Step 2: Convert to fraction form
    7,678.66/10,593.84 = 5,027.53/x
  3. Step 3: Cross multiply
    7,678.66x = 10,593.84 × 5,027.53
  4. Step 4: Simplify right side
    7,678.66x = 53,260,848.42
  5. Step 5: Solve for x
    x = 53,260,848.42/7,678.66
  6. Step 6: Final answer
    x = 6,936.22

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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.