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Finding the Fourth Proportional to 6,698.48, 10,047.80 and 3,188.81

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Solution

The fourth proportional to 6,698.48, 10,047.80 and 3,188.81 is: 4,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.48 : 10,047.80 = 3,188.81 : x
  2. Step 2: Convert to fraction form
    6,698.48/10,047.80 = 3,188.81/x
  3. Step 3: Cross multiply
    6,698.48x = 10,047.80 × 3,188.81
  4. Step 4: Simplify right side
    6,698.48x = 32,040,509.17
  5. Step 5: Solve for x
    x = 32,040,509.17/6,698.48
  6. Step 6: Final answer
    x = 4,783.25

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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.