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Finding the Fourth Proportional to 6,473.50, 9,710.34 and 1,856.50

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Solution

The fourth proportional to 6,473.50, 9,710.34 and 1,856.50 is: 2,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.50 : 9,710.34 = 1,856.50 : x
  2. Step 2: Convert to fraction form
    6,473.50/9,710.34 = 1,856.50/x
  3. Step 3: Cross multiply
    6,473.50x = 9,710.34 × 1,856.50
  4. Step 4: Simplify right side
    6,473.50x = 18,027,246.21
  5. Step 5: Solve for x
    x = 18,027,246.21/6,473.50
  6. Step 6: Final answer
    x = 2,784.78

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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.