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Finding the Fourth Proportional to 6,394.30, 8,823.35 and 3,705.50

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Solution

The fourth proportional to 6,394.30, 8,823.35 and 3,705.50 is: 5,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.30 : 8,823.35 = 3,705.50 : x
  2. Step 2: Convert to fraction form
    6,394.30/8,823.35 = 3,705.50/x
  3. Step 3: Cross multiply
    6,394.30x = 8,823.35 × 3,705.50
  4. Step 4: Simplify right side
    6,394.30x = 32,694,954.75
  5. Step 5: Solve for x
    x = 32,694,954.75/6,394.30
  6. Step 6: Final answer
    x = 5,113.14

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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.