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Finding the Fourth Proportional to 5,984.69, 8,254.64 and 5,186.57

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Solution

The fourth proportional to 5,984.69, 8,254.64 and 5,186.57 is: 7,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.69 : 8,254.64 = 5,186.57 : x
  2. Step 2: Convert to fraction form
    5,984.69/8,254.64 = 5,186.57/x
  3. Step 3: Cross multiply
    5,984.69x = 8,254.64 × 5,186.57
  4. Step 4: Simplify right side
    5,984.69x = 42,813,239.88
  5. Step 5: Solve for x
    x = 42,813,239.88/5,984.69
  6. Step 6: Final answer
    x = 7,153.80

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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.