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Finding the Fourth Proportional to 9,779.67, 14,674.77 and 6,494.31

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Solution

The fourth proportional to 9,779.67, 14,674.77 and 6,494.31 is: 9,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.67 : 14,674.77 = 6,494.31 : x
  2. Step 2: Convert to fraction form
    9,779.67/14,674.77 = 6,494.31/x
  3. Step 3: Cross multiply
    9,779.67x = 14,674.77 × 6,494.31
  4. Step 4: Simplify right side
    9,779.67x = 95,302,505.56
  5. Step 5: Solve for x
    x = 95,302,505.56/9,779.67
  6. Step 6: Final answer
    x = 9,744.96

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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.