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Finding the Fourth Proportional to 9,437, 13,023.47 and 5,245.25

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Solution

The fourth proportional to 9,437, 13,023.47 and 5,245.25 is: 7,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437 : 13,023.47 = 5,245.25 : x
  2. Step 2: Convert to fraction form
    9,437/13,023.47 = 5,245.25/x
  3. Step 3: Cross multiply
    9,437x = 13,023.47 × 5,245.25
  4. Step 4: Simplify right side
    9,437x = 68,311,329.79
  5. Step 5: Solve for x
    x = 68,311,329.79/9,437
  6. Step 6: Final answer
    x = 7,238.67

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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.