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Finding the Fourth Proportional to 6,545.36, 9,818.36 and 1,928.40

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Solution

The fourth proportional to 6,545.36, 9,818.36 and 1,928.40 is: 2,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.36 : 9,818.36 = 1,928.40 : x
  2. Step 2: Convert to fraction form
    6,545.36/9,818.36 = 1,928.40/x
  3. Step 3: Cross multiply
    6,545.36x = 9,818.36 × 1,928.40
  4. Step 4: Simplify right side
    6,545.36x = 18,933,725.42
  5. Step 5: Solve for x
    x = 18,933,725.42/6,545.36
  6. Step 6: Final answer
    x = 2,892.69

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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.