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Finding the Fourth Proportional to 9,957.08, 13,738.04 and 6,178.44

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Solution

The fourth proportional to 9,957.08, 13,738.04 and 6,178.44 is: 8,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.08 : 13,738.04 = 6,178.44 : x
  2. Step 2: Convert to fraction form
    9,957.08/13,738.04 = 6,178.44/x
  3. Step 3: Cross multiply
    9,957.08x = 13,738.04 × 6,178.44
  4. Step 4: Simplify right side
    9,957.08x = 84,879,655.86
  5. Step 5: Solve for x
    x = 84,879,655.86/9,957.08
  6. Step 6: Final answer
    x = 8,524.55

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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.