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Finding the Fourth Proportional to 7,713.24, 10,644.24 and 4,176.44

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Solution

The fourth proportional to 7,713.24, 10,644.24 and 4,176.44 is: 5,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.24 : 10,644.24 = 4,176.44 : x
  2. Step 2: Convert to fraction form
    7,713.24/10,644.24 = 4,176.44/x
  3. Step 3: Cross multiply
    7,713.24x = 10,644.24 × 4,176.44
  4. Step 4: Simplify right side
    7,713.24x = 44,455,029.71
  5. Step 5: Solve for x
    x = 44,455,029.71/7,713.24
  6. Step 6: Final answer
    x = 5,763.47

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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.