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Finding the Fourth Proportional to 6,492.65, 9,746.67 and 5,465.43

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Solution

The fourth proportional to 6,492.65, 9,746.67 and 5,465.43 is: 8,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.65 : 9,746.67 = 5,465.43 : x
  2. Step 2: Convert to fraction form
    6,492.65/9,746.67 = 5,465.43/x
  3. Step 3: Cross multiply
    6,492.65x = 9,746.67 × 5,465.43
  4. Step 4: Simplify right side
    6,492.65x = 53,269,742.62
  5. Step 5: Solve for x
    x = 53,269,742.62/6,492.65
  6. Step 6: Final answer
    x = 8,204.63

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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.