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Finding the Fourth Proportional to 10,412.05, 15,624.99 and 4,865.82

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Solution

The fourth proportional to 10,412.05, 15,624.99 and 4,865.82 is: 7,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.05 : 15,624.99 = 4,865.82 : x
  2. Step 2: Convert to fraction form
    10,412.05/15,624.99 = 4,865.82/x
  3. Step 3: Cross multiply
    10,412.05x = 15,624.99 × 4,865.82
  4. Step 4: Simplify right side
    10,412.05x = 76,028,388.84
  5. Step 5: Solve for x
    x = 76,028,388.84/10,412.05
  6. Step 6: Final answer
    x = 7,301.96

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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.