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Finding the Fourth Proportional to 9,734.94, 14,602.41 and 7,790.94

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Solution

The fourth proportional to 9,734.94, 14,602.41 and 7,790.94 is: 11,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.94 : 14,602.41 = 7,790.94 : x
  2. Step 2: Convert to fraction form
    9,734.94/14,602.41 = 7,790.94/x
  3. Step 3: Cross multiply
    9,734.94x = 14,602.41 × 7,790.94
  4. Step 4: Simplify right side
    9,734.94x = 113,766,500.17
  5. Step 5: Solve for x
    x = 113,766,500.17/9,734.94
  6. Step 6: Final answer
    x = 11,686.41

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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.