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Finding the Fourth Proportional to 5,906.94, 8,852.51 and 5,164.74

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Solution

The fourth proportional to 5,906.94, 8,852.51 and 5,164.74 is: 7,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.94 : 8,852.51 = 5,164.74 : x
  2. Step 2: Convert to fraction form
    5,906.94/8,852.51 = 5,164.74/x
  3. Step 3: Cross multiply
    5,906.94x = 8,852.51 × 5,164.74
  4. Step 4: Simplify right side
    5,906.94x = 45,720,886.67
  5. Step 5: Solve for x
    x = 45,720,886.67/5,906.94
  6. Step 6: Final answer
    x = 7,740.20

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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.