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Finding the Fourth Proportional to 4,359.24, 6,538.86 and 2,817

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Solution

The fourth proportional to 4,359.24, 6,538.86 and 2,817 is: 4,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.24 : 6,538.86 = 2,817 : x
  2. Step 2: Convert to fraction form
    4,359.24/6,538.86 = 2,817/x
  3. Step 3: Cross multiply
    4,359.24x = 6,538.86 × 2,817
  4. Step 4: Simplify right side
    4,359.24x = 18,419,968.62
  5. Step 5: Solve for x
    x = 18,419,968.62/4,359.24
  6. Step 6: Final answer
    x = 4,225.50

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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.