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Finding the Fourth Proportional to 7,490.24, 11,213.76 and 5,762.24

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Solution

The fourth proportional to 7,490.24, 11,213.76 and 5,762.24 is: 8,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.24 : 11,213.76 = 5,762.24 : x
  2. Step 2: Convert to fraction form
    7,490.24/11,213.76 = 5,762.24/x
  3. Step 3: Cross multiply
    7,490.24x = 11,213.76 × 5,762.24
  4. Step 4: Simplify right side
    7,490.24x = 64,616,376.42
  5. Step 5: Solve for x
    x = 64,616,376.42/7,490.24
  6. Step 6: Final answer
    x = 8,626.74

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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.