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Finding the Fourth Proportional to 5,296.70, 7,944.98 and 1,294.10

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Solution

The fourth proportional to 5,296.70, 7,944.98 and 1,294.10 is: 1,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.70 : 7,944.98 = 1,294.10 : x
  2. Step 2: Convert to fraction form
    5,296.70/7,944.98 = 1,294.10/x
  3. Step 3: Cross multiply
    5,296.70x = 7,944.98 × 1,294.10
  4. Step 4: Simplify right side
    5,296.70x = 10,281,598.62
  5. Step 5: Solve for x
    x = 10,281,598.62/5,296.70
  6. Step 6: Final answer
    x = 1,941.13

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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.