Home / 7,214.96-10,823-2,284.88

Finding the Fourth Proportional to 7,214.96, 10,823 and 2,284.88

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Solution

The fourth proportional to 7,214.96, 10,823 and 2,284.88 is: 3,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.96 : 10,823 = 2,284.88 : x
  2. Step 2: Convert to fraction form
    7,214.96/10,823 = 2,284.88/x
  3. Step 3: Cross multiply
    7,214.96x = 10,823 × 2,284.88
  4. Step 4: Simplify right side
    7,214.96x = 24,729,256.24
  5. Step 5: Solve for x
    x = 24,729,256.24/7,214.96
  6. Step 6: Final answer
    x = 3,427.50

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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.