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Finding the Fourth Proportional to 6,487.36, 9,734.22 and 4,021.53

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Solution

The fourth proportional to 6,487.36, 9,734.22 and 4,021.53 is: 6,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.36 : 9,734.22 = 4,021.53 : x
  2. Step 2: Convert to fraction form
    6,487.36/9,734.22 = 4,021.53/x
  3. Step 3: Cross multiply
    6,487.36x = 9,734.22 × 4,021.53
  4. Step 4: Simplify right side
    6,487.36x = 39,146,457.76
  5. Step 5: Solve for x
    x = 39,146,457.76/6,487.36
  6. Step 6: Final answer
    x = 6,034.27

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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.