Home / 6,938.64-10,407.96-2,322

Finding the Fourth Proportional to 6,938.64, 10,407.96 and 2,322

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Solution

The fourth proportional to 6,938.64, 10,407.96 and 2,322 is: 3,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.64 : 10,407.96 = 2,322 : x
  2. Step 2: Convert to fraction form
    6,938.64/10,407.96 = 2,322/x
  3. Step 3: Cross multiply
    6,938.64x = 10,407.96 × 2,322
  4. Step 4: Simplify right side
    6,938.64x = 24,167,283.12
  5. Step 5: Solve for x
    x = 24,167,283.12/6,938.64
  6. Step 6: Final answer
    x = 3,483.00

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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.