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Finding the Fourth Proportional to 6,409.44, 8,886.06 and 6,077.16

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Solution

The fourth proportional to 6,409.44, 8,886.06 and 6,077.16 is: 8,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.44 : 8,886.06 = 6,077.16 : x
  2. Step 2: Convert to fraction form
    6,409.44/8,886.06 = 6,077.16/x
  3. Step 3: Cross multiply
    6,409.44x = 8,886.06 × 6,077.16
  4. Step 4: Simplify right side
    6,409.44x = 54,002,008.39
  5. Step 5: Solve for x
    x = 54,002,008.39/6,409.44
  6. Step 6: Final answer
    x = 8,425.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.