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Finding the Fourth Proportional to 5,103.95, 7,648.74 and 4,059.32

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Solution

The fourth proportional to 5,103.95, 7,648.74 and 4,059.32 is: 6,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.95 : 7,648.74 = 4,059.32 : x
  2. Step 2: Convert to fraction form
    5,103.95/7,648.74 = 4,059.32/x
  3. Step 3: Cross multiply
    5,103.95x = 7,648.74 × 4,059.32
  4. Step 4: Simplify right side
    5,103.95x = 31,048,702.38
  5. Step 5: Solve for x
    x = 31,048,702.38/5,103.95
  6. Step 6: Final answer
    x = 6,083.27

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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.