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Finding the Fourth Proportional to 9,713.52, 13,406.78 and 6,176.04

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Solution

The fourth proportional to 9,713.52, 13,406.78 and 6,176.04 is: 8,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.52 : 13,406.78 = 6,176.04 : x
  2. Step 2: Convert to fraction form
    9,713.52/13,406.78 = 6,176.04/x
  3. Step 3: Cross multiply
    9,713.52x = 13,406.78 × 6,176.04
  4. Step 4: Simplify right side
    9,713.52x = 82,800,809.55
  5. Step 5: Solve for x
    x = 82,800,809.55/9,713.52
  6. Step 6: Final answer
    x = 8,524.28

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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.