Home / 9,578.16-13,213.80-5,850

Finding the Fourth Proportional to 9,578.16, 13,213.80 and 5,850

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Solution

The fourth proportional to 9,578.16, 13,213.80 and 5,850 is: 8,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.16 : 13,213.80 = 5,850 : x
  2. Step 2: Convert to fraction form
    9,578.16/13,213.80 = 5,850/x
  3. Step 3: Cross multiply
    9,578.16x = 13,213.80 × 5,850
  4. Step 4: Simplify right side
    9,578.16x = 77,300,730
  5. Step 5: Solve for x
    x = 77,300,730/9,578.16
  6. Step 6: Final answer
    x = 8,070.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.