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Finding the Fourth Proportional to 7,443.80, 11,171.10 and 4,977.80

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Solution

The fourth proportional to 7,443.80, 11,171.10 and 4,977.80 is: 7,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.80 : 11,171.10 = 4,977.80 : x
  2. Step 2: Convert to fraction form
    7,443.80/11,171.10 = 4,977.80/x
  3. Step 3: Cross multiply
    7,443.80x = 11,171.10 × 4,977.80
  4. Step 4: Simplify right side
    7,443.80x = 55,607,501.58
  5. Step 5: Solve for x
    x = 55,607,501.58/7,443.80
  6. Step 6: Final answer
    x = 7,470.31

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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.