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Finding the Fourth Proportional to 7,235.26, 9,984.62 and 4,048.56

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Solution

The fourth proportional to 7,235.26, 9,984.62 and 4,048.56 is: 5,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.26 : 9,984.62 = 4,048.56 : x
  2. Step 2: Convert to fraction form
    7,235.26/9,984.62 = 4,048.56/x
  3. Step 3: Cross multiply
    7,235.26x = 9,984.62 × 4,048.56
  4. Step 4: Simplify right side
    7,235.26x = 40,423,333.15
  5. Step 5: Solve for x
    x = 40,423,333.15/7,235.26
  6. Step 6: Final answer
    x = 5,586.99

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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.