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Finding the Fourth Proportional to 10,762.83, 16,140.02 and 4,525.83

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Solution

The fourth proportional to 10,762.83, 16,140.02 and 4,525.83 is: 6,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.83 : 16,140.02 = 4,525.83 : x
  2. Step 2: Convert to fraction form
    10,762.83/16,140.02 = 4,525.83/x
  3. Step 3: Cross multiply
    10,762.83x = 16,140.02 × 4,525.83
  4. Step 4: Simplify right side
    10,762.83x = 73,046,964.09
  5. Step 5: Solve for x
    x = 73,046,964.09/10,762.83
  6. Step 6: Final answer
    x = 6,786.97

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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.