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Finding the Fourth Proportional to 6,441.50, 9,656.06 and 4,094.22

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Solution

The fourth proportional to 6,441.50, 9,656.06 and 4,094.22 is: 6,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.50 : 9,656.06 = 4,094.22 : x
  2. Step 2: Convert to fraction form
    6,441.50/9,656.06 = 4,094.22/x
  3. Step 3: Cross multiply
    6,441.50x = 9,656.06 × 4,094.22
  4. Step 4: Simplify right side
    6,441.50x = 39,534,045.58
  5. Step 5: Solve for x
    x = 39,534,045.58/6,441.50
  6. Step 6: Final answer
    x = 6,137.40

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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.