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Finding the Fourth Proportional to 6,469.53, 8,925.35 and 4,697.25

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Solution

The fourth proportional to 6,469.53, 8,925.35 and 4,697.25 is: 6,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.53 : 8,925.35 = 4,697.25 : x
  2. Step 2: Convert to fraction form
    6,469.53/8,925.35 = 4,697.25/x
  3. Step 3: Cross multiply
    6,469.53x = 8,925.35 × 4,697.25
  4. Step 4: Simplify right side
    6,469.53x = 41,924,600.29
  5. Step 5: Solve for x
    x = 41,924,600.29/6,469.53
  6. Step 6: Final answer
    x = 6,480.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.