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Finding the Fourth Proportional to 7,240.16, 9,992.34 and 4,096.28

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Solution

The fourth proportional to 7,240.16, 9,992.34 and 4,096.28 is: 5,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.16 : 9,992.34 = 4,096.28 : x
  2. Step 2: Convert to fraction form
    7,240.16/9,992.34 = 4,096.28/x
  3. Step 3: Cross multiply
    7,240.16x = 9,992.34 × 4,096.28
  4. Step 4: Simplify right side
    7,240.16x = 40,931,422.50
  5. Step 5: Solve for x
    x = 40,931,422.50/7,240.16
  6. Step 6: Final answer
    x = 5,653.39

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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.