Home / 9,738-14,599.71-3,160.26

Finding the Fourth Proportional to 9,738, 14,599.71 and 3,160.26

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Solution

The fourth proportional to 9,738, 14,599.71 and 3,160.26 is: 4,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 14,599.71 = 3,160.26 : x
  2. Step 2: Convert to fraction form
    9,738/14,599.71 = 3,160.26/x
  3. Step 3: Cross multiply
    9,738x = 14,599.71 × 3,160.26
  4. Step 4: Simplify right side
    9,738x = 46,138,879.52
  5. Step 5: Solve for x
    x = 46,138,879.52/9,738
  6. Step 6: Final answer
    x = 4,738.02

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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.