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Finding the Fourth Proportional to 9,903.50, 14,855.27 and 2,407.02

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Solution

The fourth proportional to 9,903.50, 14,855.27 and 2,407.02 is: 3,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.50 : 14,855.27 = 2,407.02 : x
  2. Step 2: Convert to fraction form
    9,903.50/14,855.27 = 2,407.02/x
  3. Step 3: Cross multiply
    9,903.50x = 14,855.27 × 2,407.02
  4. Step 4: Simplify right side
    9,903.50x = 35,756,919.96
  5. Step 5: Solve for x
    x = 35,756,919.96/9,903.50
  6. Step 6: Final answer
    x = 3,610.53

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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.