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Finding the Fourth Proportional to 6,465.50, 9,701.90 and 2,570.21

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Solution

The fourth proportional to 6,465.50, 9,701.90 and 2,570.21 is: 3,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.50 : 9,701.90 = 2,570.21 : x
  2. Step 2: Convert to fraction form
    6,465.50/9,701.90 = 2,570.21/x
  3. Step 3: Cross multiply
    6,465.50x = 9,701.90 × 2,570.21
  4. Step 4: Simplify right side
    6,465.50x = 24,935,859.04
  5. Step 5: Solve for x
    x = 24,935,859.04/6,465.50
  6. Step 6: Final answer
    x = 3,856.76

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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.