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Finding the Fourth Proportional to 7,800.38, 10,764.03 and 4,443.14

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Solution

The fourth proportional to 7,800.38, 10,764.03 and 4,443.14 is: 6,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.38 : 10,764.03 = 4,443.14 : x
  2. Step 2: Convert to fraction form
    7,800.38/10,764.03 = 4,443.14/x
  3. Step 3: Cross multiply
    7,800.38x = 10,764.03 × 4,443.14
  4. Step 4: Simplify right side
    7,800.38x = 47,826,038.43
  5. Step 5: Solve for x
    x = 47,826,038.43/7,800.38
  6. Step 6: Final answer
    x = 6,131.24

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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.