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Finding the Fourth Proportional to 9,885.85, 14,829.08 and 3,646.22

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Solution

The fourth proportional to 9,885.85, 14,829.08 and 3,646.22 is: 5,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.85 : 14,829.08 = 3,646.22 : x
  2. Step 2: Convert to fraction form
    9,885.85/14,829.08 = 3,646.22/x
  3. Step 3: Cross multiply
    9,885.85x = 14,829.08 × 3,646.22
  4. Step 4: Simplify right side
    9,885.85x = 54,069,995.70
  5. Step 5: Solve for x
    x = 54,069,995.70/9,885.85
  6. Step 6: Final answer
    x = 5,469.43

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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.