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Finding the Fourth Proportional to 6,558.83, 9,787.83 and 5,858.18

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Solution

The fourth proportional to 6,558.83, 9,787.83 and 5,858.18 is: 8,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.83 : 9,787.83 = 5,858.18 : x
  2. Step 2: Convert to fraction form
    6,558.83/9,787.83 = 5,858.18/x
  3. Step 3: Cross multiply
    6,558.83x = 9,787.83 × 5,858.18
  4. Step 4: Simplify right side
    6,558.83x = 57,338,821.01
  5. Step 5: Solve for x
    x = 57,338,821.01/6,558.83
  6. Step 6: Final answer
    x = 8,742.24

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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.