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Finding the Fourth Proportional to 7,232.34, 10,835.01 and 5,769.75

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Solution

The fourth proportional to 7,232.34, 10,835.01 and 5,769.75 is: 8,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.34 : 10,835.01 = 5,769.75 : x
  2. Step 2: Convert to fraction form
    7,232.34/10,835.01 = 5,769.75/x
  3. Step 3: Cross multiply
    7,232.34x = 10,835.01 × 5,769.75
  4. Step 4: Simplify right side
    7,232.34x = 62,515,298.95
  5. Step 5: Solve for x
    x = 62,515,298.95/7,232.34
  6. Step 6: Final answer
    x = 8,643.86

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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.