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Finding the Fourth Proportional to 11,492.94, 17,223.47 and 5,237.67

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Solution

The fourth proportional to 11,492.94, 17,223.47 and 5,237.67 is: 7,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.94 : 17,223.47 = 5,237.67 : x
  2. Step 2: Convert to fraction form
    11,492.94/17,223.47 = 5,237.67/x
  3. Step 3: Cross multiply
    11,492.94x = 17,223.47 × 5,237.67
  4. Step 4: Simplify right side
    11,492.94x = 90,210,825.93
  5. Step 5: Solve for x
    x = 90,210,825.93/11,492.94
  6. Step 6: Final answer
    x = 7,849.24

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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.