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Finding the Fourth Proportional to 6,505.41, 9,741.64 and 4,668.33

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Solution

The fourth proportional to 6,505.41, 9,741.64 and 4,668.33 is: 6,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.41 : 9,741.64 = 4,668.33 : x
  2. Step 2: Convert to fraction form
    6,505.41/9,741.64 = 4,668.33/x
  3. Step 3: Cross multiply
    6,505.41x = 9,741.64 × 4,668.33
  4. Step 4: Simplify right side
    6,505.41x = 45,477,190.26
  5. Step 5: Solve for x
    x = 45,477,190.26/6,505.41
  6. Step 6: Final answer
    x = 6,990.67

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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.