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Finding the Fourth Proportional to 15,798.40, 23,698 and 4,112.16

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Solution

The fourth proportional to 15,798.40, 23,698 and 4,112.16 is: 6,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,798.40 : 23,698 = 4,112.16 : x
  2. Step 2: Convert to fraction form
    15,798.40/23,698 = 4,112.16/x
  3. Step 3: Cross multiply
    15,798.40x = 23,698 × 4,112.16
  4. Step 4: Simplify right side
    15,798.40x = 97,449,967.68
  5. Step 5: Solve for x
    x = 97,449,967.68/15,798.40
  6. Step 6: Final answer
    x = 6,168.34

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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.