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Finding the Fourth Proportional to 10,647.86, 14,684.49 and 6,669.41

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Solution

The fourth proportional to 10,647.86, 14,684.49 and 6,669.41 is: 9,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.86 : 14,684.49 = 6,669.41 : x
  2. Step 2: Convert to fraction form
    10,647.86/14,684.49 = 6,669.41/x
  3. Step 3: Cross multiply
    10,647.86x = 14,684.49 × 6,669.41
  4. Step 4: Simplify right side
    10,647.86x = 97,936,811.03
  5. Step 5: Solve for x
    x = 97,936,811.03/10,647.86
  6. Step 6: Final answer
    x = 9,197.80

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1.5x scale

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.