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Finding the Fourth Proportional to 7,151.48, 9,866.44 and 4,166.60

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Solution

The fourth proportional to 7,151.48, 9,866.44 and 4,166.60 is: 5,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.48 : 9,866.44 = 4,166.60 : x
  2. Step 2: Convert to fraction form
    7,151.48/9,866.44 = 4,166.60/x
  3. Step 3: Cross multiply
    7,151.48x = 9,866.44 × 4,166.60
  4. Step 4: Simplify right side
    7,151.48x = 41,109,508.90
  5. Step 5: Solve for x
    x = 41,109,508.90/7,151.48
  6. Step 6: Final answer
    x = 5,748.39

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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.