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Finding the Fourth Proportional to 6,693.77, 10,032.46 and 4,741.88

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Solution

The fourth proportional to 6,693.77, 10,032.46 and 4,741.88 is: 7,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.77 : 10,032.46 = 4,741.88 : x
  2. Step 2: Convert to fraction form
    6,693.77/10,032.46 = 4,741.88/x
  3. Step 3: Cross multiply
    6,693.77x = 10,032.46 × 4,741.88
  4. Step 4: Simplify right side
    6,693.77x = 47,572,659.41
  5. Step 5: Solve for x
    x = 47,572,659.41/6,693.77
  6. Step 6: Final answer
    x = 7,107.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.