Home / 5,098.29-7,646.32-1,400.14

Finding the Fourth Proportional to 5,098.29, 7,646.32 and 1,400.14

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Solution

The fourth proportional to 5,098.29, 7,646.32 and 1,400.14 is: 2,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.29 : 7,646.32 = 1,400.14 : x
  2. Step 2: Convert to fraction form
    5,098.29/7,646.32 = 1,400.14/x
  3. Step 3: Cross multiply
    5,098.29x = 7,646.32 × 1,400.14
  4. Step 4: Simplify right side
    5,098.29x = 10,705,890.72
  5. Step 5: Solve for x
    x = 10,705,890.72/5,098.29
  6. Step 6: Final answer
    x = 2,099.90

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1.5x scale

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.