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Finding the Fourth Proportional to 9,158.56, 12,624.06 and 6,173.44

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Solution

The fourth proportional to 9,158.56, 12,624.06 and 6,173.44 is: 8,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.56 : 12,624.06 = 6,173.44 : x
  2. Step 2: Convert to fraction form
    9,158.56/12,624.06 = 6,173.44/x
  3. Step 3: Cross multiply
    9,158.56x = 12,624.06 × 6,173.44
  4. Step 4: Simplify right side
    9,158.56x = 77,933,876.97
  5. Step 5: Solve for x
    x = 77,933,876.97/9,158.56
  6. Step 6: Final answer
    x = 8,509.40

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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.