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Finding the Fourth Proportional to 8,078.84, 12,106.90 and 6,428.04

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Solution

The fourth proportional to 8,078.84, 12,106.90 and 6,428.04 is: 9,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.84 : 12,106.90 = 6,428.04 : x
  2. Step 2: Convert to fraction form
    8,078.84/12,106.90 = 6,428.04/x
  3. Step 3: Cross multiply
    8,078.84x = 12,106.90 × 6,428.04
  4. Step 4: Simplify right side
    8,078.84x = 77,823,637.48
  5. Step 5: Solve for x
    x = 77,823,637.48/8,078.84
  6. Step 6: Final answer
    x = 9,633.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.