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Finding the Fourth Proportional to 9,804.70, 13,525.23 and 6,213.16

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Solution

The fourth proportional to 9,804.70, 13,525.23 and 6,213.16 is: 8,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.70 : 13,525.23 = 6,213.16 : x
  2. Step 2: Convert to fraction form
    9,804.70/13,525.23 = 6,213.16/x
  3. Step 3: Cross multiply
    9,804.70x = 13,525.23 × 6,213.16
  4. Step 4: Simplify right side
    9,804.70x = 84,034,418.03
  5. Step 5: Solve for x
    x = 84,034,418.03/9,804.70
  6. Step 6: Final answer
    x = 8,570.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.