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Finding the Fourth Proportional to 7,277.06, 10,042.35 and 3,965.06

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Solution

The fourth proportional to 7,277.06, 10,042.35 and 3,965.06 is: 5,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.06 : 10,042.35 = 3,965.06 : x
  2. Step 2: Convert to fraction form
    7,277.06/10,042.35 = 3,965.06/x
  3. Step 3: Cross multiply
    7,277.06x = 10,042.35 × 3,965.06
  4. Step 4: Simplify right side
    7,277.06x = 39,818,520.29
  5. Step 5: Solve for x
    x = 39,818,520.29/7,277.06
  6. Step 6: Final answer
    x = 5,471.79

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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.