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Finding the Fourth Proportional to 7,166.48, 9,890.87 and 4,184.06

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Solution

The fourth proportional to 7,166.48, 9,890.87 and 4,184.06 is: 5,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.48 : 9,890.87 = 4,184.06 : x
  2. Step 2: Convert to fraction form
    7,166.48/9,890.87 = 4,184.06/x
  3. Step 3: Cross multiply
    7,166.48x = 9,890.87 × 4,184.06
  4. Step 4: Simplify right side
    7,166.48x = 41,383,997.34
  5. Step 5: Solve for x
    x = 41,383,997.34/7,166.48
  6. Step 6: Final answer
    x = 5,774.66

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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.