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Finding the Fourth Proportional to 4,698.54, 6,484.62 and 2,709.06

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Solution

The fourth proportional to 4,698.54, 6,484.62 and 2,709.06 is: 3,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.54 : 6,484.62 = 2,709.06 : x
  2. Step 2: Convert to fraction form
    4,698.54/6,484.62 = 2,709.06/x
  3. Step 3: Cross multiply
    4,698.54x = 6,484.62 × 2,709.06
  4. Step 4: Simplify right side
    4,698.54x = 17,567,224.66
  5. Step 5: Solve for x
    x = 17,567,224.66/4,698.54
  6. Step 6: Final answer
    x = 3,738.87

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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.