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Finding the Fourth Proportional to 11,841.93, 16,341.93 and 6,537.11

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Solution

The fourth proportional to 11,841.93, 16,341.93 and 6,537.11 is: 9,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.93 : 16,341.93 = 6,537.11 : x
  2. Step 2: Convert to fraction form
    11,841.93/16,341.93 = 6,537.11/x
  3. Step 3: Cross multiply
    11,841.93x = 16,341.93 × 6,537.11
  4. Step 4: Simplify right side
    11,841.93x = 106,828,912.31
  5. Step 5: Solve for x
    x = 106,828,912.31/11,841.93
  6. Step 6: Final answer
    x = 9,021.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.