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Finding the Fourth Proportional to 7,151.08, 9,866.11 and 4,636.49

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Solution

The fourth proportional to 7,151.08, 9,866.11 and 4,636.49 is: 6,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.08 : 9,866.11 = 4,636.49 : x
  2. Step 2: Convert to fraction form
    7,151.08/9,866.11 = 4,636.49/x
  3. Step 3: Cross multiply
    7,151.08x = 9,866.11 × 4,636.49
  4. Step 4: Simplify right side
    7,151.08x = 45,744,071.02
  5. Step 5: Solve for x
    x = 45,744,071.02/7,151.08
  6. Step 6: Final answer
    x = 6,396.81

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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.