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Finding the Fourth Proportional to 27,999.34, 41,999.82 and 10,465.81

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Solution

The fourth proportional to 27,999.34, 41,999.82 and 10,465.81 is: 15,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999.34 : 41,999.82 = 10,465.81 : x
  2. Step 2: Convert to fraction form
    27,999.34/41,999.82 = 10,465.81/x
  3. Step 3: Cross multiply
    27,999.34x = 41,999.82 × 10,465.81
  4. Step 4: Simplify right side
    27,999.34x = 439,562,136.15
  5. Step 5: Solve for x
    x = 439,562,136.15/27,999.34
  6. Step 6: Final answer
    x = 15,699.02

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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.