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Finding the Fourth Proportional to 7,224.65, 9,969.53 and 4,080.23

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Solution

The fourth proportional to 7,224.65, 9,969.53 and 4,080.23 is: 5,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.65 : 9,969.53 = 4,080.23 : x
  2. Step 2: Convert to fraction form
    7,224.65/9,969.53 = 4,080.23/x
  3. Step 3: Cross multiply
    7,224.65x = 9,969.53 × 4,080.23
  4. Step 4: Simplify right side
    7,224.65x = 40,677,975.39
  5. Step 5: Solve for x
    x = 40,677,975.39/7,224.65
  6. Step 6: Final answer
    x = 5,630.44

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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.