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Finding the Fourth Proportional to 6,358.50, 9,538.35 and 1,741.50

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Solution

The fourth proportional to 6,358.50, 9,538.35 and 1,741.50 is: 2,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.50 : 9,538.35 = 1,741.50 : x
  2. Step 2: Convert to fraction form
    6,358.50/9,538.35 = 1,741.50/x
  3. Step 3: Cross multiply
    6,358.50x = 9,538.35 × 1,741.50
  4. Step 4: Simplify right side
    6,358.50x = 16,611,036.53
  5. Step 5: Solve for x
    x = 16,611,036.53/6,358.50
  6. Step 6: Final answer
    x = 2,612.41

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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.