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Finding the Fourth Proportional to 9,794.98, 14,693.64 and 3,953.26

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Solution

The fourth proportional to 9,794.98, 14,693.64 and 3,953.26 is: 5,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.98 : 14,693.64 = 3,953.26 : x
  2. Step 2: Convert to fraction form
    9,794.98/14,693.64 = 3,953.26/x
  3. Step 3: Cross multiply
    9,794.98x = 14,693.64 × 3,953.26
  4. Step 4: Simplify right side
    9,794.98x = 58,087,779.27
  5. Step 5: Solve for x
    x = 58,087,779.27/9,794.98
  6. Step 6: Final answer
    x = 5,930.36

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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.