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Finding the Fourth Proportional to 9,630, 13,289.49 and 5,438.34

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Solution

The fourth proportional to 9,630, 13,289.49 and 5,438.34 is: 7,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630 : 13,289.49 = 5,438.34 : x
  2. Step 2: Convert to fraction form
    9,630/13,289.49 = 5,438.34/x
  3. Step 3: Cross multiply
    9,630x = 13,289.49 × 5,438.34
  4. Step 4: Simplify right side
    9,630x = 72,272,765.05
  5. Step 5: Solve for x
    x = 72,272,765.05/9,630
  6. Step 6: Final answer
    x = 7,504.96

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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.