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Finding the Fourth Proportional to 9,809.76, 13,537.08 and 5,617.20

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Solution

The fourth proportional to 9,809.76, 13,537.08 and 5,617.20 is: 7,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.76 : 13,537.08 = 5,617.20 : x
  2. Step 2: Convert to fraction form
    9,809.76/13,537.08 = 5,617.20/x
  3. Step 3: Cross multiply
    9,809.76x = 13,537.08 × 5,617.20
  4. Step 4: Simplify right side
    9,809.76x = 76,040,485.78
  5. Step 5: Solve for x
    x = 76,040,485.78/9,809.76
  6. Step 6: Final answer
    x = 7,751.51

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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.