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Finding the Fourth Proportional to 6,113, 8,432.10 and 4,873.96

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Solution

The fourth proportional to 6,113, 8,432.10 and 4,873.96 is: 6,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113 : 8,432.10 = 4,873.96 : x
  2. Step 2: Convert to fraction form
    6,113/8,432.10 = 4,873.96/x
  3. Step 3: Cross multiply
    6,113x = 8,432.10 × 4,873.96
  4. Step 4: Simplify right side
    6,113x = 41,097,718.12
  5. Step 5: Solve for x
    x = 41,097,718.12/6,113
  6. Step 6: Final answer
    x = 6,723.00

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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.