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Finding the Fourth Proportional to 8,982.84, 12,396.06 and 5,206.08

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Solution

The fourth proportional to 8,982.84, 12,396.06 and 5,206.08 is: 7,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.84 : 12,396.06 = 5,206.08 : x
  2. Step 2: Convert to fraction form
    8,982.84/12,396.06 = 5,206.08/x
  3. Step 3: Cross multiply
    8,982.84x = 12,396.06 × 5,206.08
  4. Step 4: Simplify right side
    8,982.84x = 64,534,880.04
  5. Step 5: Solve for x
    x = 64,534,880.04/8,982.84
  6. Step 6: Final answer
    x = 7,184.24

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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.