Home / 6,975.82-10,465-2,297.16

Finding the Fourth Proportional to 6,975.82, 10,465 and 2,297.16

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Solution

The fourth proportional to 6,975.82, 10,465 and 2,297.16 is: 3,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.82 : 10,465 = 2,297.16 : x
  2. Step 2: Convert to fraction form
    6,975.82/10,465 = 2,297.16/x
  3. Step 3: Cross multiply
    6,975.82x = 10,465 × 2,297.16
  4. Step 4: Simplify right side
    6,975.82x = 24,039,779.40
  5. Step 5: Solve for x
    x = 24,039,779.40/6,975.82
  6. Step 6: Final answer
    x = 3,446.16

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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.