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Finding the Fourth Proportional to 6,026.45, 9,038.22 and 1,643.93

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Solution

The fourth proportional to 6,026.45, 9,038.22 and 1,643.93 is: 2,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.45 : 9,038.22 = 1,643.93 : x
  2. Step 2: Convert to fraction form
    6,026.45/9,038.22 = 1,643.93/x
  3. Step 3: Cross multiply
    6,026.45x = 9,038.22 × 1,643.93
  4. Step 4: Simplify right side
    6,026.45x = 14,858,201.00
  5. Step 5: Solve for x
    x = 14,858,201.00/6,026.45
  6. Step 6: Final answer
    x = 2,465.50

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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.