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Finding the Fourth Proportional to 17,094, 25,641.78 and 5,246.91

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Solution

The fourth proportional to 17,094, 25,641.78 and 5,246.91 is: 7,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094 : 25,641.78 = 5,246.91 : x
  2. Step 2: Convert to fraction form
    17,094/25,641.78 = 5,246.91/x
  3. Step 3: Cross multiply
    17,094x = 25,641.78 × 5,246.91
  4. Step 4: Simplify right side
    17,094x = 134,540,111.90
  5. Step 5: Solve for x
    x = 134,540,111.90/17,094
  6. Step 6: Final answer
    x = 7,870.60

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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.