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Finding the Fourth Proportional to 6,698.52, 10,047.64 and 1,768.48

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Solution

The fourth proportional to 6,698.52, 10,047.64 and 1,768.48 is: 2,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.52 : 10,047.64 = 1,768.48 : x
  2. Step 2: Convert to fraction form
    6,698.52/10,047.64 = 1,768.48/x
  3. Step 3: Cross multiply
    6,698.52x = 10,047.64 × 1,768.48
  4. Step 4: Simplify right side
    6,698.52x = 17,769,050.39
  5. Step 5: Solve for x
    x = 17,769,050.39/6,698.52
  6. Step 6: Final answer
    x = 2,652.68

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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.