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Finding the Fourth Proportional to 9,169.46, 12,654.16 and 5,136.46

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Solution

The fourth proportional to 9,169.46, 12,654.16 and 5,136.46 is: 7,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.46 : 12,654.16 = 5,136.46 : x
  2. Step 2: Convert to fraction form
    9,169.46/12,654.16 = 5,136.46/x
  3. Step 3: Cross multiply
    9,169.46x = 12,654.16 × 5,136.46
  4. Step 4: Simplify right side
    9,169.46x = 64,997,567.88
  5. Step 5: Solve for x
    x = 64,997,567.88/9,169.46
  6. Step 6: Final answer
    x = 7,088.49

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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.