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Finding the Fourth Proportional to 19,671.84, 29,507.76 and 5,820.84

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Solution

The fourth proportional to 19,671.84, 29,507.76 and 5,820.84 is: 8,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.84 : 29,507.76 = 5,820.84 : x
  2. Step 2: Convert to fraction form
    19,671.84/29,507.76 = 5,820.84/x
  3. Step 3: Cross multiply
    19,671.84x = 29,507.76 × 5,820.84
  4. Step 4: Simplify right side
    19,671.84x = 171,759,949.72
  5. Step 5: Solve for x
    x = 171,759,949.72/19,671.84
  6. Step 6: Final answer
    x = 8,731.26

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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.