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Finding the Fourth Proportional to 8,051.40, 12,077.10 and 4,762.80

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Solution

The fourth proportional to 8,051.40, 12,077.10 and 4,762.80 is: 7,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.40 : 12,077.10 = 4,762.80 : x
  2. Step 2: Convert to fraction form
    8,051.40/12,077.10 = 4,762.80/x
  3. Step 3: Cross multiply
    8,051.40x = 12,077.10 × 4,762.80
  4. Step 4: Simplify right side
    8,051.40x = 57,520,811.88
  5. Step 5: Solve for x
    x = 57,520,811.88/8,051.40
  6. Step 6: Final answer
    x = 7,144.20

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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.