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Finding the Fourth Proportional to 9,348.75, 14,023.13 and 3,805.11

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Solution

The fourth proportional to 9,348.75, 14,023.13 and 3,805.11 is: 5,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.75 : 14,023.13 = 3,805.11 : x
  2. Step 2: Convert to fraction form
    9,348.75/14,023.13 = 3,805.11/x
  3. Step 3: Cross multiply
    9,348.75x = 14,023.13 × 3,805.11
  4. Step 4: Simplify right side
    9,348.75x = 53,359,533.17
  5. Step 5: Solve for x
    x = 53,359,533.17/9,348.75
  6. Step 6: Final answer
    x = 5,707.67

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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.