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Finding the Fourth Proportional to 10,219.56, 14,092.56 and 9,624.24

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Solution

The fourth proportional to 10,219.56, 14,092.56 and 9,624.24 is: 13,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.56 : 14,092.56 = 9,624.24 : x
  2. Step 2: Convert to fraction form
    10,219.56/14,092.56 = 9,624.24/x
  3. Step 3: Cross multiply
    10,219.56x = 14,092.56 × 9,624.24
  4. Step 4: Simplify right side
    10,219.56x = 135,630,179.65
  5. Step 5: Solve for x
    x = 135,630,179.65/10,219.56
  6. Step 6: Final answer
    x = 13,271.63

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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.