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Finding the Fourth Proportional to 6,657.30, 9,186.74 and 4,004.20

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Solution

The fourth proportional to 6,657.30, 9,186.74 and 4,004.20 is: 5,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.30 : 9,186.74 = 4,004.20 : x
  2. Step 2: Convert to fraction form
    6,657.30/9,186.74 = 4,004.20/x
  3. Step 3: Cross multiply
    6,657.30x = 9,186.74 × 4,004.20
  4. Step 4: Simplify right side
    6,657.30x = 36,785,544.31
  5. Step 5: Solve for x
    x = 36,785,544.31/6,657.30
  6. Step 6: Final answer
    x = 5,525.60

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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.