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Finding the Fourth Proportional to 5,137, 7,103.64 and 4,904.94

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Solution

The fourth proportional to 5,137, 7,103.64 and 4,904.94 is: 6,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137 : 7,103.64 = 4,904.94 : x
  2. Step 2: Convert to fraction form
    5,137/7,103.64 = 4,904.94/x
  3. Step 3: Cross multiply
    5,137x = 7,103.64 × 4,904.94
  4. Step 4: Simplify right side
    5,137x = 34,842,927.98
  5. Step 5: Solve for x
    x = 34,842,927.98/5,137
  6. Step 6: Final answer
    x = 6,782.74

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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.