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Finding the Fourth Proportional to 9,588.67, 14,363.86 and 7,617.64

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Solution

The fourth proportional to 9,588.67, 14,363.86 and 7,617.64 is: 11,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.67 : 14,363.86 = 7,617.64 : x
  2. Step 2: Convert to fraction form
    9,588.67/14,363.86 = 7,617.64/x
  3. Step 3: Cross multiply
    9,588.67x = 14,363.86 × 7,617.64
  4. Step 4: Simplify right side
    9,588.67x = 109,418,659.54
  5. Step 5: Solve for x
    x = 109,418,659.54/9,588.67
  6. Step 6: Final answer
    x = 11,411.25

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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.