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Finding the Fourth Proportional to 6,423.96, 9,644.58 and 3,652.32

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Solution

The fourth proportional to 6,423.96, 9,644.58 and 3,652.32 is: 5,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.96 : 9,644.58 = 3,652.32 : x
  2. Step 2: Convert to fraction form
    6,423.96/9,644.58 = 3,652.32/x
  3. Step 3: Cross multiply
    6,423.96x = 9,644.58 × 3,652.32
  4. Step 4: Simplify right side
    6,423.96x = 35,225,092.43
  5. Step 5: Solve for x
    x = 35,225,092.43/6,423.96
  6. Step 6: Final answer
    x = 5,483.39

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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.