Home / 6,097.86-8,419.14-3,830.16

Finding the Fourth Proportional to 6,097.86, 8,419.14 and 3,830.16

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Solution

The fourth proportional to 6,097.86, 8,419.14 and 3,830.16 is: 5,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.86 : 8,419.14 = 3,830.16 : x
  2. Step 2: Convert to fraction form
    6,097.86/8,419.14 = 3,830.16/x
  3. Step 3: Cross multiply
    6,097.86x = 8,419.14 × 3,830.16
  4. Step 4: Simplify right side
    6,097.86x = 32,246,653.26
  5. Step 5: Solve for x
    x = 32,246,653.26/6,097.86
  6. Step 6: Final answer
    x = 5,288.19

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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.