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Finding the Fourth Proportional to 10,496.86, 14,492.63 and 6,523.90

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Solution

The fourth proportional to 10,496.86, 14,492.63 and 6,523.90 is: 9,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.86 : 14,492.63 = 6,523.90 : x
  2. Step 2: Convert to fraction form
    10,496.86/14,492.63 = 6,523.90/x
  3. Step 3: Cross multiply
    10,496.86x = 14,492.63 × 6,523.90
  4. Step 4: Simplify right side
    10,496.86x = 94,548,468.86
  5. Step 5: Solve for x
    x = 94,548,468.86/10,496.86
  6. Step 6: Final answer
    x = 9,007.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.