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Finding the Fourth Proportional to 8,045.76, 12,014.16 and 6,383.64

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Solution

The fourth proportional to 8,045.76, 12,014.16 and 6,383.64 is: 9,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.76 : 12,014.16 = 6,383.64 : x
  2. Step 2: Convert to fraction form
    8,045.76/12,014.16 = 6,383.64/x
  3. Step 3: Cross multiply
    8,045.76x = 12,014.16 × 6,383.64
  4. Step 4: Simplify right side
    8,045.76x = 76,694,072.34
  5. Step 5: Solve for x
    x = 76,694,072.34/8,045.76
  6. Step 6: Final answer
    x = 9,532.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.