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Finding the Fourth Proportional to 9,650.58, 14,467.65 and 9,191.31

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Solution

The fourth proportional to 9,650.58, 14,467.65 and 9,191.31 is: 13,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.58 : 14,467.65 = 9,191.31 : x
  2. Step 2: Convert to fraction form
    9,650.58/14,467.65 = 9,191.31/x
  3. Step 3: Cross multiply
    9,650.58x = 14,467.65 × 9,191.31
  4. Step 4: Simplify right side
    9,650.58x = 132,976,656.12
  5. Step 5: Solve for x
    x = 132,976,656.12/9,650.58
  6. Step 6: Final answer
    x = 13,779.14

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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.