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Finding the Fourth Proportional to 6,492.52, 9,741.66 and 4,825

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Solution

The fourth proportional to 6,492.52, 9,741.66 and 4,825 is: 7,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.52 : 9,741.66 = 4,825 : x
  2. Step 2: Convert to fraction form
    6,492.52/9,741.66 = 4,825/x
  3. Step 3: Cross multiply
    6,492.52x = 9,741.66 × 4,825
  4. Step 4: Simplify right side
    6,492.52x = 47,003,509.50
  5. Step 5: Solve for x
    x = 47,003,509.50/6,492.52
  6. Step 6: Final answer
    x = 7,239.64

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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.