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Finding the Fourth Proportional to 6,465.85, 9,698.79 and 3,542.56

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Solution

The fourth proportional to 6,465.85, 9,698.79 and 3,542.56 is: 5,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.85 : 9,698.79 = 3,542.56 : x
  2. Step 2: Convert to fraction form
    6,465.85/9,698.79 = 3,542.56/x
  3. Step 3: Cross multiply
    6,465.85x = 9,698.79 × 3,542.56
  4. Step 4: Simplify right side
    6,465.85x = 34,358,545.50
  5. Step 5: Solve for x
    x = 34,358,545.50/6,465.85
  6. Step 6: Final answer
    x = 5,313.85

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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.