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Finding the Fourth Proportional to 6,785.82, 10,112.08 and 6,562.84

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Solution

The fourth proportional to 6,785.82, 10,112.08 and 6,562.84 is: 9,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.82 : 10,112.08 = 6,562.84 : x
  2. Step 2: Convert to fraction form
    6,785.82/10,112.08 = 6,562.84/x
  3. Step 3: Cross multiply
    6,785.82x = 10,112.08 × 6,562.84
  4. Step 4: Simplify right side
    6,785.82x = 66,363,963.11
  5. Step 5: Solve for x
    x = 66,363,963.11/6,785.82
  6. Step 6: Final answer
    x = 9,779.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.