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Finding the Fourth Proportional to 7,632.86, 10,534.24 and 4,650.44

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Solution

The fourth proportional to 7,632.86, 10,534.24 and 4,650.44 is: 6,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.86 : 10,534.24 = 4,650.44 : x
  2. Step 2: Convert to fraction form
    7,632.86/10,534.24 = 4,650.44/x
  3. Step 3: Cross multiply
    7,632.86x = 10,534.24 × 4,650.44
  4. Step 4: Simplify right side
    7,632.86x = 48,988,851.07
  5. Step 5: Solve for x
    x = 48,988,851.07/7,632.86
  6. Step 6: Final answer
    x = 6,418.15

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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.