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Finding the Fourth Proportional to 7,056.99, 9,738.63 and 4,072.83

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Solution

The fourth proportional to 7,056.99, 9,738.63 and 4,072.83 is: 5,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.99 : 9,738.63 = 4,072.83 : x
  2. Step 2: Convert to fraction form
    7,056.99/9,738.63 = 4,072.83/x
  3. Step 3: Cross multiply
    7,056.99x = 9,738.63 × 4,072.83
  4. Step 4: Simplify right side
    7,056.99x = 39,663,784.42
  5. Step 5: Solve for x
    x = 39,663,784.42/7,056.99
  6. Step 6: Final answer
    x = 5,620.50

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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.