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Finding the Fourth Proportional to 9,627.84, 14,442.84 and 3,052.80

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Solution

The fourth proportional to 9,627.84, 14,442.84 and 3,052.80 is: 4,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.84 : 14,442.84 = 3,052.80 : x
  2. Step 2: Convert to fraction form
    9,627.84/14,442.84 = 3,052.80/x
  3. Step 3: Cross multiply
    9,627.84x = 14,442.84 × 3,052.80
  4. Step 4: Simplify right side
    9,627.84x = 44,091,101.95
  5. Step 5: Solve for x
    x = 44,091,101.95/9,627.84
  6. Step 6: Final answer
    x = 4,579.54

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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.