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Finding the Fourth Proportional to 6,342.88, 9,514.32 and 5,957.52

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Solution

The fourth proportional to 6,342.88, 9,514.32 and 5,957.52 is: 8,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.88 : 9,514.32 = 5,957.52 : x
  2. Step 2: Convert to fraction form
    6,342.88/9,514.32 = 5,957.52/x
  3. Step 3: Cross multiply
    6,342.88x = 9,514.32 × 5,957.52
  4. Step 4: Simplify right side
    6,342.88x = 56,681,751.69
  5. Step 5: Solve for x
    x = 56,681,751.69/6,342.88
  6. Step 6: Final answer
    x = 8,936.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.