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Finding the Fourth Proportional to 9,173, 12,658.24 and 5,194.16

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Solution

The fourth proportional to 9,173, 12,658.24 and 5,194.16 is: 7,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173 : 12,658.24 = 5,194.16 : x
  2. Step 2: Convert to fraction form
    9,173/12,658.24 = 5,194.16/x
  3. Step 3: Cross multiply
    9,173x = 12,658.24 × 5,194.16
  4. Step 4: Simplify right side
    9,173x = 65,748,923.88
  5. Step 5: Solve for x
    x = 65,748,923.88/9,173
  6. Step 6: Final answer
    x = 7,167.66

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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.