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Finding the Fourth Proportional to 6,701.58, 9,245.07 and 4,182.06

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Solution

The fourth proportional to 6,701.58, 9,245.07 and 4,182.06 is: 5,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.58 : 9,245.07 = 4,182.06 : x
  2. Step 2: Convert to fraction form
    6,701.58/9,245.07 = 4,182.06/x
  3. Step 3: Cross multiply
    6,701.58x = 9,245.07 × 4,182.06
  4. Step 4: Simplify right side
    6,701.58x = 38,663,437.44
  5. Step 5: Solve for x
    x = 38,663,437.44/6,701.58
  6. Step 6: Final answer
    x = 5,769.30

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Double scale
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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.