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Finding the Fourth Proportional to 9,808.75, 13,536.21 and 5,617

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Solution

The fourth proportional to 9,808.75, 13,536.21 and 5,617 is: 7,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.75 : 13,536.21 = 5,617 : x
  2. Step 2: Convert to fraction form
    9,808.75/13,536.21 = 5,617/x
  3. Step 3: Cross multiply
    9,808.75x = 13,536.21 × 5,617
  4. Step 4: Simplify right side
    9,808.75x = 76,032,891.57
  5. Step 5: Solve for x
    x = 76,032,891.57/9,808.75
  6. Step 6: Final answer
    x = 7,751.54

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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.