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Finding the Fourth Proportional to 9,538.82, 14,311.65 and 5,798.22

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Solution

The fourth proportional to 9,538.82, 14,311.65 and 5,798.22 is: 8,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.82 : 14,311.65 = 5,798.22 : x
  2. Step 2: Convert to fraction form
    9,538.82/14,311.65 = 5,798.22/x
  3. Step 3: Cross multiply
    9,538.82x = 14,311.65 × 5,798.22
  4. Step 4: Simplify right side
    9,538.82x = 82,982,095.26
  5. Step 5: Solve for x
    x = 82,982,095.26/9,538.82
  6. Step 6: Final answer
    x = 8,699.41

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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.