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Finding the Fourth Proportional to 6,194.90, 8,545.99 and 4,513.70

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Solution

The fourth proportional to 6,194.90, 8,545.99 and 4,513.70 is: 6,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.90 : 8,545.99 = 4,513.70 : x
  2. Step 2: Convert to fraction form
    6,194.90/8,545.99 = 4,513.70/x
  3. Step 3: Cross multiply
    6,194.90x = 8,545.99 × 4,513.70
  4. Step 4: Simplify right side
    6,194.90x = 38,574,035.06
  5. Step 5: Solve for x
    x = 38,574,035.06/6,194.90
  6. Step 6: Final answer
    x = 6,226.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.