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Finding the Fourth Proportional to 6,866.10, 9,466.86 and 5,801.94

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Solution

The fourth proportional to 6,866.10, 9,466.86 and 5,801.94 is: 7,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.10 : 9,466.86 = 5,801.94 : x
  2. Step 2: Convert to fraction form
    6,866.10/9,466.86 = 5,801.94/x
  3. Step 3: Cross multiply
    6,866.10x = 9,466.86 × 5,801.94
  4. Step 4: Simplify right side
    6,866.10x = 54,926,153.71
  5. Step 5: Solve for x
    x = 54,926,153.71/6,866.10
  6. Step 6: Final answer
    x = 7,999.61

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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.