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Finding the Fourth Proportional to 6,558.84, 9,830.07 and 5,166.69

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Solution

The fourth proportional to 6,558.84, 9,830.07 and 5,166.69 is: 7,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.84 : 9,830.07 = 5,166.69 : x
  2. Step 2: Convert to fraction form
    6,558.84/9,830.07 = 5,166.69/x
  3. Step 3: Cross multiply
    6,558.84x = 9,830.07 × 5,166.69
  4. Step 4: Simplify right side
    6,558.84x = 50,788,924.37
  5. Step 5: Solve for x
    x = 50,788,924.37/6,558.84
  6. Step 6: Final answer
    x = 7,743.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.