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Finding the Fourth Proportional to 6,296.16, 9,436.02 and 2,594.16

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Solution

The fourth proportional to 6,296.16, 9,436.02 and 2,594.16 is: 3,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.16 : 9,436.02 = 2,594.16 : x
  2. Step 2: Convert to fraction form
    6,296.16/9,436.02 = 2,594.16/x
  3. Step 3: Cross multiply
    6,296.16x = 9,436.02 × 2,594.16
  4. Step 4: Simplify right side
    6,296.16x = 24,478,545.64
  5. Step 5: Solve for x
    x = 24,478,545.64/6,296.16
  6. Step 6: Final answer
    x = 3,887.85

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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.