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Finding the Fourth Proportional to 7,673.50, 10,589.97 and 4,316.64

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Solution

The fourth proportional to 7,673.50, 10,589.97 and 4,316.64 is: 5,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.50 : 10,589.97 = 4,316.64 : x
  2. Step 2: Convert to fraction form
    7,673.50/10,589.97 = 4,316.64/x
  3. Step 3: Cross multiply
    7,673.50x = 10,589.97 × 4,316.64
  4. Step 4: Simplify right side
    7,673.50x = 45,713,013.57
  5. Step 5: Solve for x
    x = 45,713,013.57/7,673.50
  6. Step 6: Final answer
    x = 5,957.26

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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.