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Finding the Fourth Proportional to 7,830.04, 11,738.46 and 5,358.76

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Solution

The fourth proportional to 7,830.04, 11,738.46 and 5,358.76 is: 8,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.04 : 11,738.46 = 5,358.76 : x
  2. Step 2: Convert to fraction form
    7,830.04/11,738.46 = 5,358.76/x
  3. Step 3: Cross multiply
    7,830.04x = 11,738.46 × 5,358.76
  4. Step 4: Simplify right side
    7,830.04x = 62,903,589.91
  5. Step 5: Solve for x
    x = 62,903,589.91/7,830.04
  6. Step 6: Final answer
    x = 8,033.62

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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.