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Finding the Fourth Proportional to 6,449.46, 8,893.50 and 4,774.38

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Solution

The fourth proportional to 6,449.46, 8,893.50 and 4,774.38 is: 6,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.46 : 8,893.50 = 4,774.38 : x
  2. Step 2: Convert to fraction form
    6,449.46/8,893.50 = 4,774.38/x
  3. Step 3: Cross multiply
    6,449.46x = 8,893.50 × 4,774.38
  4. Step 4: Simplify right side
    6,449.46x = 42,460,948.53
  5. Step 5: Solve for x
    x = 42,460,948.53/6,449.46
  6. Step 6: Final answer
    x = 6,583.64

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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.