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Finding the Fourth Proportional to 9,734.74, 14,602.11 and 5,571.84

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Solution

The fourth proportional to 9,734.74, 14,602.11 and 5,571.84 is: 8,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.74 : 14,602.11 = 5,571.84 : x
  2. Step 2: Convert to fraction form
    9,734.74/14,602.11 = 5,571.84/x
  3. Step 3: Cross multiply
    9,734.74x = 14,602.11 × 5,571.84
  4. Step 4: Simplify right side
    9,734.74x = 81,360,592.72
  5. Step 5: Solve for x
    x = 81,360,592.72/9,734.74
  6. Step 6: Final answer
    x = 8,357.76

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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.