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Finding the Fourth Proportional to 17,296.49, 25,947 and 6,204.42

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Solution

The fourth proportional to 17,296.49, 25,947 and 6,204.42 is: 9,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.49 : 25,947 = 6,204.42 : x
  2. Step 2: Convert to fraction form
    17,296.49/25,947 = 6,204.42/x
  3. Step 3: Cross multiply
    17,296.49x = 25,947 × 6,204.42
  4. Step 4: Simplify right side
    17,296.49x = 160,986,085.74
  5. Step 5: Solve for x
    x = 160,986,085.74/17,296.49
  6. Step 6: Final answer
    x = 9,307.44

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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.