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Finding the Fourth Proportional to 6,412.80, 8,844.96 and 4,647.36

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Solution

The fourth proportional to 6,412.80, 8,844.96 and 4,647.36 is: 6,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.80 : 8,844.96 = 4,647.36 : x
  2. Step 2: Convert to fraction form
    6,412.80/8,844.96 = 4,647.36/x
  3. Step 3: Cross multiply
    6,412.80x = 8,844.96 × 4,647.36
  4. Step 4: Simplify right side
    6,412.80x = 41,105,713.31
  5. Step 5: Solve for x
    x = 41,105,713.31/6,412.80
  6. Step 6: Final answer
    x = 6,409.95

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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.