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Finding the Fourth Proportional to 9,296.02, 13,946.10 and 4,363.03

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Solution

The fourth proportional to 9,296.02, 13,946.10 and 4,363.03 is: 6,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.02 : 13,946.10 = 4,363.03 : x
  2. Step 2: Convert to fraction form
    9,296.02/13,946.10 = 4,363.03/x
  3. Step 3: Cross multiply
    9,296.02x = 13,946.10 × 4,363.03
  4. Step 4: Simplify right side
    9,296.02x = 60,847,252.68
  5. Step 5: Solve for x
    x = 60,847,252.68/9,296.02
  6. Step 6: Final answer
    x = 6,545.52

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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.