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Finding the Fourth Proportional to 6,698.16, 9,244.58 and 3,865.02

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Solution

The fourth proportional to 6,698.16, 9,244.58 and 3,865.02 is: 5,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.16 : 9,244.58 = 3,865.02 : x
  2. Step 2: Convert to fraction form
    6,698.16/9,244.58 = 3,865.02/x
  3. Step 3: Cross multiply
    6,698.16x = 9,244.58 × 3,865.02
  4. Step 4: Simplify right side
    6,698.16x = 35,730,454.34
  5. Step 5: Solve for x
    x = 35,730,454.34/6,698.16
  6. Step 6: Final answer
    x = 5,334.37

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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.