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Finding the Fourth Proportional to 14,884.84, 22,307.66 and 6,986.12

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Solution

The fourth proportional to 14,884.84, 22,307.66 and 6,986.12 is: 10,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.84 : 22,307.66 = 6,986.12 : x
  2. Step 2: Convert to fraction form
    14,884.84/22,307.66 = 6,986.12/x
  3. Step 3: Cross multiply
    14,884.84x = 22,307.66 × 6,986.12
  4. Step 4: Simplify right side
    14,884.84x = 155,843,989.68
  5. Step 5: Solve for x
    x = 155,843,989.68/14,884.84
  6. Step 6: Final answer
    x = 10,469.98

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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.