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Finding the Fourth Proportional to 6,700.41, 9,243.59 and 4,182.93

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Solution

The fourth proportional to 6,700.41, 9,243.59 and 4,182.93 is: 5,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.41 : 9,243.59 = 4,182.93 : x
  2. Step 2: Convert to fraction form
    6,700.41/9,243.59 = 4,182.93/x
  3. Step 3: Cross multiply
    6,700.41x = 9,243.59 × 4,182.93
  4. Step 4: Simplify right side
    6,700.41x = 38,665,269.00
  5. Step 5: Solve for x
    x = 38,665,269.00/6,700.41
  6. Step 6: Final answer
    x = 5,770.58

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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.