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Finding the Fourth Proportional to 6,500.30, 9,749.22 and 2,551.39

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Solution

The fourth proportional to 6,500.30, 9,749.22 and 2,551.39 is: 3,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.30 : 9,749.22 = 2,551.39 : x
  2. Step 2: Convert to fraction form
    6,500.30/9,749.22 = 2,551.39/x
  3. Step 3: Cross multiply
    6,500.30x = 9,749.22 × 2,551.39
  4. Step 4: Simplify right side
    6,500.30x = 24,874,038.04
  5. Step 5: Solve for x
    x = 24,874,038.04/6,500.30
  6. Step 6: Final answer
    x = 3,826.60

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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.