Home / 7,738.22-10,678.80-4,201.46

Finding the Fourth Proportional to 7,738.22, 10,678.80 and 4,201.46

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Solution

The fourth proportional to 7,738.22, 10,678.80 and 4,201.46 is: 5,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.22 : 10,678.80 = 4,201.46 : x
  2. Step 2: Convert to fraction form
    7,738.22/10,678.80 = 4,201.46/x
  3. Step 3: Cross multiply
    7,738.22x = 10,678.80 × 4,201.46
  4. Step 4: Simplify right side
    7,738.22x = 44,866,551.05
  5. Step 5: Solve for x
    x = 44,866,551.05/7,738.22
  6. Step 6: Final answer
    x = 5,798.05

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1.5x scale

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.