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Finding the Fourth Proportional to 7,224.72, 9,970 and 4,080.72

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Solution

The fourth proportional to 7,224.72, 9,970 and 4,080.72 is: 5,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.72 : 9,970 = 4,080.72 : x
  2. Step 2: Convert to fraction form
    7,224.72/9,970 = 4,080.72/x
  3. Step 3: Cross multiply
    7,224.72x = 9,970 × 4,080.72
  4. Step 4: Simplify right side
    7,224.72x = 40,684,778.40
  5. Step 5: Solve for x
    x = 40,684,778.40/7,224.72
  6. Step 6: Final answer
    x = 5,631.33

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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.