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Finding the Fourth Proportional to 6,114.80, 8,437.76 and 3,462.40

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Solution

The fourth proportional to 6,114.80, 8,437.76 and 3,462.40 is: 4,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.80 : 8,437.76 = 3,462.40 : x
  2. Step 2: Convert to fraction form
    6,114.80/8,437.76 = 3,462.40/x
  3. Step 3: Cross multiply
    6,114.80x = 8,437.76 × 3,462.40
  4. Step 4: Simplify right side
    6,114.80x = 29,214,900.22
  5. Step 5: Solve for x
    x = 29,214,900.22/6,114.80
  6. Step 6: Final answer
    x = 4,777.74

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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.