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Finding the Fourth Proportional to 7,828.62, 10,803.30 and 4,291.62

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Solution

The fourth proportional to 7,828.62, 10,803.30 and 4,291.62 is: 5,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.62 : 10,803.30 = 4,291.62 : x
  2. Step 2: Convert to fraction form
    7,828.62/10,803.30 = 4,291.62/x
  3. Step 3: Cross multiply
    7,828.62x = 10,803.30 × 4,291.62
  4. Step 4: Simplify right side
    7,828.62x = 46,363,658.35
  5. Step 5: Solve for x
    x = 46,363,658.35/7,828.62
  6. Step 6: Final answer
    x = 5,922.33

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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.