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Finding the Fourth Proportional to 6,409.92, 8,847.08 and 4,055.20

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Solution

The fourth proportional to 6,409.92, 8,847.08 and 4,055.20 is: 5,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.92 : 8,847.08 = 4,055.20 : x
  2. Step 2: Convert to fraction form
    6,409.92/8,847.08 = 4,055.20/x
  3. Step 3: Cross multiply
    6,409.92x = 8,847.08 × 4,055.20
  4. Step 4: Simplify right side
    6,409.92x = 35,876,678.82
  5. Step 5: Solve for x
    x = 35,876,678.82/6,409.92
  6. Step 6: Final answer
    x = 5,597.06

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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.