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Finding the Fourth Proportional to 6,500.94, 9,749.10 and 2,117.58

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Solution

The fourth proportional to 6,500.94, 9,749.10 and 2,117.58 is: 3,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.94 : 9,749.10 = 2,117.58 : x
  2. Step 2: Convert to fraction form
    6,500.94/9,749.10 = 2,117.58/x
  3. Step 3: Cross multiply
    6,500.94x = 9,749.10 × 2,117.58
  4. Step 4: Simplify right side
    6,500.94x = 20,644,499.18
  5. Step 5: Solve for x
    x = 20,644,499.18/6,500.94
  6. Step 6: Final answer
    x = 3,175.62

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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.