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Finding the Fourth Proportional to 5,991, 8,267.58 and 3,507

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Solution

The fourth proportional to 5,991, 8,267.58 and 3,507 is: 4,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991 : 8,267.58 = 3,507 : x
  2. Step 2: Convert to fraction form
    5,991/8,267.58 = 3,507/x
  3. Step 3: Cross multiply
    5,991x = 8,267.58 × 3,507
  4. Step 4: Simplify right side
    5,991x = 28,994,403.06
  5. Step 5: Solve for x
    x = 28,994,403.06/5,991
  6. Step 6: Final answer
    x = 4,839.66

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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.