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Finding the Fourth Proportional to 9,608.57, 13,259.81 and 5,416.79

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Solution

The fourth proportional to 9,608.57, 13,259.81 and 5,416.79 is: 7,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.57 : 13,259.81 = 5,416.79 : x
  2. Step 2: Convert to fraction form
    9,608.57/13,259.81 = 5,416.79/x
  3. Step 3: Cross multiply
    9,608.57x = 13,259.81 × 5,416.79
  4. Step 4: Simplify right side
    9,608.57x = 71,825,579.13
  5. Step 5: Solve for x
    x = 71,825,579.13/9,608.57
  6. Step 6: Final answer
    x = 7,475.16

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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.