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Finding the Fourth Proportional to 9,903.78, 14,856.20 and 2,508.30

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Solution

The fourth proportional to 9,903.78, 14,856.20 and 2,508.30 is: 3,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.78 : 14,856.20 = 2,508.30 : x
  2. Step 2: Convert to fraction form
    9,903.78/14,856.20 = 2,508.30/x
  3. Step 3: Cross multiply
    9,903.78x = 14,856.20 × 2,508.30
  4. Step 4: Simplify right side
    9,903.78x = 37,263,793.92
  5. Step 5: Solve for x
    x = 37,263,793.92/9,903.78
  6. Step 6: Final answer
    x = 3,762.58

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1.5x scale

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.