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Finding the Fourth Proportional to 9,449.89, 14,174.52 and 5,075.89

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Solution

The fourth proportional to 9,449.89, 14,174.52 and 5,075.89 is: 7,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.89 : 14,174.52 = 5,075.89 : x
  2. Step 2: Convert to fraction form
    9,449.89/14,174.52 = 5,075.89/x
  3. Step 3: Cross multiply
    9,449.89x = 14,174.52 × 5,075.89
  4. Step 4: Simplify right side
    9,449.89x = 71,948,304.32
  5. Step 5: Solve for x
    x = 71,948,304.32/9,449.89
  6. Step 6: Final answer
    x = 7,613.67

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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.