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Finding the Fourth Proportional to 6,153.89, 8,477.54 and 4,894.54

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Solution

The fourth proportional to 6,153.89, 8,477.54 and 4,894.54 is: 6,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.89 : 8,477.54 = 4,894.54 : x
  2. Step 2: Convert to fraction form
    6,153.89/8,477.54 = 4,894.54/x
  3. Step 3: Cross multiply
    6,153.89x = 8,477.54 × 4,894.54
  4. Step 4: Simplify right side
    6,153.89x = 41,493,658.85
  5. Step 5: Solve for x
    x = 41,493,658.85/6,153.89
  6. Step 6: Final answer
    x = 6,742.68

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Double scale
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1.5x scale

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.