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Finding the Fourth Proportional to 6,678.64, 10,018.64 and 2,295.53

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Solution

The fourth proportional to 6,678.64, 10,018.64 and 2,295.53 is: 3,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.64 : 10,018.64 = 2,295.53 : x
  2. Step 2: Convert to fraction form
    6,678.64/10,018.64 = 2,295.53/x
  3. Step 3: Cross multiply
    6,678.64x = 10,018.64 × 2,295.53
  4. Step 4: Simplify right side
    6,678.64x = 22,998,088.68
  5. Step 5: Solve for x
    x = 22,998,088.68/6,678.64
  6. Step 6: Final answer
    x = 3,443.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.