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Finding the Fourth Proportional to 6,495.27, 9,742.50 and 1,878.27

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Solution

The fourth proportional to 6,495.27, 9,742.50 and 1,878.27 is: 2,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.27 : 9,742.50 = 1,878.27 : x
  2. Step 2: Convert to fraction form
    6,495.27/9,742.50 = 1,878.27/x
  3. Step 3: Cross multiply
    6,495.27x = 9,742.50 × 1,878.27
  4. Step 4: Simplify right side
    6,495.27x = 18,299,045.48
  5. Step 5: Solve for x
    x = 18,299,045.48/6,495.27
  6. Step 6: Final answer
    x = 2,817.29

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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.