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Finding the Fourth Proportional to 6,503.41, 9,738.64 and 4,666.33

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Solution

The fourth proportional to 6,503.41, 9,738.64 and 4,666.33 is: 6,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.41 : 9,738.64 = 4,666.33 : x
  2. Step 2: Convert to fraction form
    6,503.41/9,738.64 = 4,666.33/x
  3. Step 3: Cross multiply
    6,503.41x = 9,738.64 × 4,666.33
  4. Step 4: Simplify right side
    6,503.41x = 45,443,707.99
  5. Step 5: Solve for x
    x = 45,443,707.99/6,503.41
  6. Step 6: Final answer
    x = 6,987.67

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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.