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Finding the Fourth Proportional to 10,164.96, 15,276.96 and 6,724.08

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Solution

The fourth proportional to 10,164.96, 15,276.96 and 6,724.08 is: 10,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.96 : 15,276.96 = 6,724.08 : x
  2. Step 2: Convert to fraction form
    10,164.96/15,276.96 = 6,724.08/x
  3. Step 3: Cross multiply
    10,164.96x = 15,276.96 × 6,724.08
  4. Step 4: Simplify right side
    10,164.96x = 102,723,501.20
  5. Step 5: Solve for x
    x = 102,723,501.20/10,164.96
  6. Step 6: Final answer
    x = 10,105.65

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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.