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Finding the Fourth Proportional to 9,472.85, 13,071.92 and 5,223.92

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Solution

The fourth proportional to 9,472.85, 13,071.92 and 5,223.92 is: 7,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.85 : 13,071.92 = 5,223.92 : x
  2. Step 2: Convert to fraction form
    9,472.85/13,071.92 = 5,223.92/x
  3. Step 3: Cross multiply
    9,472.85x = 13,071.92 × 5,223.92
  4. Step 4: Simplify right side
    9,472.85x = 68,286,638.21
  5. Step 5: Solve for x
    x = 68,286,638.21/9,472.85
  6. Step 6: Final answer
    x = 7,208.67

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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.