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Finding the Fourth Proportional to 6,349, 9,524.10 and 1,732

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Solution

The fourth proportional to 6,349, 9,524.10 and 1,732 is: 2,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349 : 9,524.10 = 1,732 : x
  2. Step 2: Convert to fraction form
    6,349/9,524.10 = 1,732/x
  3. Step 3: Cross multiply
    6,349x = 9,524.10 × 1,732
  4. Step 4: Simplify right side
    6,349x = 16,495,741.20
  5. Step 5: Solve for x
    x = 16,495,741.20/6,349
  6. Step 6: Final answer
    x = 2,598.16

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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.