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Finding the Fourth Proportional to 5,117.94, 7,663.95 and 3,164.22

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Solution

The fourth proportional to 5,117.94, 7,663.95 and 3,164.22 is: 4,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.94 : 7,663.95 = 3,164.22 : x
  2. Step 2: Convert to fraction form
    5,117.94/7,663.95 = 3,164.22/x
  3. Step 3: Cross multiply
    5,117.94x = 7,663.95 × 3,164.22
  4. Step 4: Simplify right side
    5,117.94x = 24,250,423.87
  5. Step 5: Solve for x
    x = 24,250,423.87/5,117.94
  6. Step 6: Final answer
    x = 4,738.32

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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.