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Finding the Fourth Proportional to 6,133.95, 8,461.08 and 3,742.79

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Solution

The fourth proportional to 6,133.95, 8,461.08 and 3,742.79 is: 5,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.95 : 8,461.08 = 3,742.79 : x
  2. Step 2: Convert to fraction form
    6,133.95/8,461.08 = 3,742.79/x
  3. Step 3: Cross multiply
    6,133.95x = 8,461.08 × 3,742.79
  4. Step 4: Simplify right side
    6,133.95x = 31,668,003.31
  5. Step 5: Solve for x
    x = 31,668,003.31/6,133.95
  6. Step 6: Final answer
    x = 5,162.74

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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.