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Finding the Fourth Proportional to 6,091.47, 8,410.30 and 5,672.90

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Solution

The fourth proportional to 6,091.47, 8,410.30 and 5,672.90 is: 7,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.47 : 8,410.30 = 5,672.90 : x
  2. Step 2: Convert to fraction form
    6,091.47/8,410.30 = 5,672.90/x
  3. Step 3: Cross multiply
    6,091.47x = 8,410.30 × 5,672.90
  4. Step 4: Simplify right side
    6,091.47x = 47,710,797.71
  5. Step 5: Solve for x
    x = 47,710,797.71/6,091.47
  6. Step 6: Final answer
    x = 7,832.39

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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.