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Finding the Fourth Proportional to 4,994.90, 6,894.62 and 3,409.32

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Solution

The fourth proportional to 4,994.90, 6,894.62 and 3,409.32 is: 4,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.90 : 6,894.62 = 3,409.32 : x
  2. Step 2: Convert to fraction form
    4,994.90/6,894.62 = 3,409.32/x
  3. Step 3: Cross multiply
    4,994.90x = 6,894.62 × 3,409.32
  4. Step 4: Simplify right side
    4,994.90x = 23,505,987.45
  5. Step 5: Solve for x
    x = 23,505,987.45/4,994.90
  6. Step 6: Final answer
    x = 4,706.00

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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.