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Finding the Fourth Proportional to 6,904.89, 10,355.89 and 2,225.32

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Solution

The fourth proportional to 6,904.89, 10,355.89 and 2,225.32 is: 3,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.89 : 10,355.89 = 2,225.32 : x
  2. Step 2: Convert to fraction form
    6,904.89/10,355.89 = 2,225.32/x
  3. Step 3: Cross multiply
    6,904.89x = 10,355.89 × 2,225.32
  4. Step 4: Simplify right side
    6,904.89x = 23,045,158.01
  5. Step 5: Solve for x
    x = 23,045,158.01/6,904.89
  6. Step 6: Final answer
    x = 3,337.51

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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.