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Finding the Fourth Proportional to 6,684.78, 10,027.80 and 2,303.40

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Solution

The fourth proportional to 6,684.78, 10,027.80 and 2,303.40 is: 3,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.78 : 10,027.80 = 2,303.40 : x
  2. Step 2: Convert to fraction form
    6,684.78/10,027.80 = 2,303.40/x
  3. Step 3: Cross multiply
    6,684.78x = 10,027.80 × 2,303.40
  4. Step 4: Simplify right side
    6,684.78x = 23,098,034.52
  5. Step 5: Solve for x
    x = 23,098,034.52/6,684.78
  6. Step 6: Final answer
    x = 3,455.32

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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.