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Finding the Fourth Proportional to 10,609.84, 15,917.41 and 7,495.94

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Solution

The fourth proportional to 10,609.84, 15,917.41 and 7,495.94 is: 11,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.84 : 15,917.41 = 7,495.94 : x
  2. Step 2: Convert to fraction form
    10,609.84/15,917.41 = 7,495.94/x
  3. Step 3: Cross multiply
    10,609.84x = 15,917.41 × 7,495.94
  4. Step 4: Simplify right side
    10,609.84x = 119,315,999.48
  5. Step 5: Solve for x
    x = 119,315,999.48/10,609.84
  6. Step 6: Final answer
    x = 11,245.79

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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.