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Finding the Fourth Proportional to 7,024.52, 9,693.92 and 3,880.70

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Solution

The fourth proportional to 7,024.52, 9,693.92 and 3,880.70 is: 5,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.52 : 9,693.92 = 3,880.70 : x
  2. Step 2: Convert to fraction form
    7,024.52/9,693.92 = 3,880.70/x
  3. Step 3: Cross multiply
    7,024.52x = 9,693.92 × 3,880.70
  4. Step 4: Simplify right side
    7,024.52x = 37,619,195.34
  5. Step 5: Solve for x
    x = 37,619,195.34/7,024.52
  6. Step 6: Final answer
    x = 5,355.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.