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Finding the Fourth Proportional to 6,412.84, 8,844.33 and 5,084.44

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Solution

The fourth proportional to 6,412.84, 8,844.33 and 5,084.44 is: 7,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.84 : 8,844.33 = 5,084.44 : x
  2. Step 2: Convert to fraction form
    6,412.84/8,844.33 = 5,084.44/x
  3. Step 3: Cross multiply
    6,412.84x = 8,844.33 × 5,084.44
  4. Step 4: Simplify right side
    6,412.84x = 44,968,465.23
  5. Step 5: Solve for x
    x = 44,968,465.23/6,412.84
  6. Step 6: Final answer
    x = 7,012.25

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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.