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Finding the Fourth Proportional to 6,545.34, 9,818.10 and 1,928.34

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Solution

The fourth proportional to 6,545.34, 9,818.10 and 1,928.34 is: 2,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.34 : 9,818.10 = 1,928.34 : x
  2. Step 2: Convert to fraction form
    6,545.34/9,818.10 = 1,928.34/x
  3. Step 3: Cross multiply
    6,545.34x = 9,818.10 × 1,928.34
  4. Step 4: Simplify right side
    6,545.34x = 18,932,634.95
  5. Step 5: Solve for x
    x = 18,932,634.95/6,545.34
  6. Step 6: Final answer
    x = 2,892.54

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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.