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Finding the Fourth Proportional to 5,164.65, 7,734.69 and 4,906.40

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Solution

The fourth proportional to 5,164.65, 7,734.69 and 4,906.40 is: 7,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.65 : 7,734.69 = 4,906.40 : x
  2. Step 2: Convert to fraction form
    5,164.65/7,734.69 = 4,906.40/x
  3. Step 3: Cross multiply
    5,164.65x = 7,734.69 × 4,906.40
  4. Step 4: Simplify right side
    5,164.65x = 37,949,444.34
  5. Step 5: Solve for x
    x = 37,949,444.34/5,164.65
  6. Step 6: Final answer
    x = 7,347.92

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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.