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Finding the Fourth Proportional to 9,110.81, 13,666.24 and 2,537.00

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Solution

The fourth proportional to 9,110.81, 13,666.24 and 2,537.00 is: 3,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.81 : 13,666.24 = 2,537.00 : x
  2. Step 2: Convert to fraction form
    9,110.81/13,666.24 = 2,537.00/x
  3. Step 3: Cross multiply
    9,110.81x = 13,666.24 × 2,537.00
  4. Step 4: Simplify right side
    9,110.81x = 34,671,204.03
  5. Step 5: Solve for x
    x = 34,671,204.03/9,110.81
  6. Step 6: Final answer
    x = 3,805.50

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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.