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Finding the Fourth Proportional to 6,328.86, 9,492.57 and 1,711.50

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Solution

The fourth proportional to 6,328.86, 9,492.57 and 1,711.50 is: 2,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.86 : 9,492.57 = 1,711.50 : x
  2. Step 2: Convert to fraction form
    6,328.86/9,492.57 = 1,711.50/x
  3. Step 3: Cross multiply
    6,328.86x = 9,492.57 × 1,711.50
  4. Step 4: Simplify right side
    6,328.86x = 16,246,533.56
  5. Step 5: Solve for x
    x = 16,246,533.56/6,328.86
  6. Step 6: Final answer
    x = 2,567.06

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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.