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Finding the Fourth Proportional to 5,296.43, 7,946.46 and 1,598.55

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Solution

The fourth proportional to 5,296.43, 7,946.46 and 1,598.55 is: 2,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.43 : 7,946.46 = 1,598.55 : x
  2. Step 2: Convert to fraction form
    5,296.43/7,946.46 = 1,598.55/x
  3. Step 3: Cross multiply
    5,296.43x = 7,946.46 × 1,598.55
  4. Step 4: Simplify right side
    5,296.43x = 12,702,813.63
  5. Step 5: Solve for x
    x = 12,702,813.63/5,296.43
  6. Step 6: Final answer
    x = 2,398.38

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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.