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Finding the Fourth Proportional to 11,762.10, 16,232.55 and 7,776.30

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Solution

The fourth proportional to 11,762.10, 16,232.55 and 7,776.30 is: 10,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.10 : 16,232.55 = 7,776.30 : x
  2. Step 2: Convert to fraction form
    11,762.10/16,232.55 = 7,776.30/x
  3. Step 3: Cross multiply
    11,762.10x = 16,232.55 × 7,776.30
  4. Step 4: Simplify right side
    11,762.10x = 126,229,178.57
  5. Step 5: Solve for x
    x = 126,229,178.57/11,762.10
  6. Step 6: Final answer
    x = 10,731.86

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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.