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Finding the Fourth Proportional to 9,155, 13,733.04 and 2,999

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Solution

The fourth proportional to 9,155, 13,733.04 and 2,999 is: 4,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155 : 13,733.04 = 2,999 : x
  2. Step 2: Convert to fraction form
    9,155/13,733.04 = 2,999/x
  3. Step 3: Cross multiply
    9,155x = 13,733.04 × 2,999
  4. Step 4: Simplify right side
    9,155x = 41,185,386.96
  5. Step 5: Solve for x
    x = 41,185,386.96/9,155
  6. Step 6: Final answer
    x = 4,498.68

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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.