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Finding the Fourth Proportional to 6,927.69, 9,562.86 and 4,701.09

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Solution

The fourth proportional to 6,927.69, 9,562.86 and 4,701.09 is: 6,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.69 : 9,562.86 = 4,701.09 : x
  2. Step 2: Convert to fraction form
    6,927.69/9,562.86 = 4,701.09/x
  3. Step 3: Cross multiply
    6,927.69x = 9,562.86 × 4,701.09
  4. Step 4: Simplify right side
    6,927.69x = 44,955,865.52
  5. Step 5: Solve for x
    x = 44,955,865.52/6,927.69
  6. Step 6: Final answer
    x = 6,489.30

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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.