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Finding the Fourth Proportional to 9,642.80, 14,461.74 and 4,093.28

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Solution

The fourth proportional to 9,642.80, 14,461.74 and 4,093.28 is: 6,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.80 : 14,461.74 = 4,093.28 : x
  2. Step 2: Convert to fraction form
    9,642.80/14,461.74 = 4,093.28/x
  3. Step 3: Cross multiply
    9,642.80x = 14,461.74 × 4,093.28
  4. Step 4: Simplify right side
    9,642.80x = 59,195,951.11
  5. Step 5: Solve for x
    x = 59,195,951.11/9,642.80
  6. Step 6: Final answer
    x = 6,138.88

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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.