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Finding the Fourth Proportional to 27,164.58, 40,724.91 and 9,624.84

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Solution

The fourth proportional to 27,164.58, 40,724.91 and 9,624.84 is: 14,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.58 : 40,724.91 = 9,624.84 : x
  2. Step 2: Convert to fraction form
    27,164.58/40,724.91 = 9,624.84/x
  3. Step 3: Cross multiply
    27,164.58x = 40,724.91 × 9,624.84
  4. Step 4: Simplify right side
    27,164.58x = 391,970,742.76
  5. Step 5: Solve for x
    x = 391,970,742.76/27,164.58
  6. Step 6: Final answer
    x = 14,429.48

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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.