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Finding the Fourth Proportional to 6,545.25, 9,821.03 and 3,258.63

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Solution

The fourth proportional to 6,545.25, 9,821.03 and 3,258.63 is: 4,889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.25 : 9,821.03 = 3,258.63 : x
  2. Step 2: Convert to fraction form
    6,545.25/9,821.03 = 3,258.63/x
  3. Step 3: Cross multiply
    6,545.25x = 9,821.03 × 3,258.63
  4. Step 4: Simplify right side
    6,545.25x = 32,003,102.99
  5. Step 5: Solve for x
    x = 32,003,102.99/6,545.25
  6. Step 6: Final answer
    x = 4,889.52

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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.