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Finding the Fourth Proportional to 6,080, 8,407.68 and 5,804.96

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Solution

The fourth proportional to 6,080, 8,407.68 and 5,804.96 is: 8,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080 : 8,407.68 = 5,804.96 : x
  2. Step 2: Convert to fraction form
    6,080/8,407.68 = 5,804.96/x
  3. Step 3: Cross multiply
    6,080x = 8,407.68 × 5,804.96
  4. Step 4: Simplify right side
    6,080x = 48,806,246.09
  5. Step 5: Solve for x
    x = 48,806,246.09/6,080
  6. Step 6: Final answer
    x = 8,027.34

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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.