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Finding the Fourth Proportional to 7,160.97, 9,879.66 and 4,507.41

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Solution

The fourth proportional to 7,160.97, 9,879.66 and 4,507.41 is: 6,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.97 : 9,879.66 = 4,507.41 : x
  2. Step 2: Convert to fraction form
    7,160.97/9,879.66 = 4,507.41/x
  3. Step 3: Cross multiply
    7,160.97x = 9,879.66 × 4,507.41
  4. Step 4: Simplify right side
    7,160.97x = 44,531,678.28
  5. Step 5: Solve for x
    x = 44,531,678.28/7,160.97
  6. Step 6: Final answer
    x = 6,218.67

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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.