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Finding the Fourth Proportional to 9,646.86, 14,446.92 and 6,676.98

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Solution

The fourth proportional to 9,646.86, 14,446.92 and 6,676.98 is: 9,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.86 : 14,446.92 = 6,676.98 : x
  2. Step 2: Convert to fraction form
    9,646.86/14,446.92 = 6,676.98/x
  3. Step 3: Cross multiply
    9,646.86x = 14,446.92 × 6,676.98
  4. Step 4: Simplify right side
    9,646.86x = 96,461,795.90
  5. Step 5: Solve for x
    x = 96,461,795.90/9,646.86
  6. Step 6: Final answer
    x = 9,999.29

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1.5x scale

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.