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Finding the Fourth Proportional to 6,500.04, 9,749.04 and 2,117.46

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Solution

The fourth proportional to 6,500.04, 9,749.04 and 2,117.46 is: 3,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.04 : 9,749.04 = 2,117.46 : x
  2. Step 2: Convert to fraction form
    6,500.04/9,749.04 = 2,117.46/x
  3. Step 3: Cross multiply
    6,500.04x = 9,749.04 × 2,117.46
  4. Step 4: Simplify right side
    6,500.04x = 20,643,202.24
  5. Step 5: Solve for x
    x = 20,643,202.24/6,500.04
  6. Step 6: Final answer
    x = 3,175.86

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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.