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Finding the Fourth Proportional to 9,835.67, 13,573.64 and 5,359.67

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Solution

The fourth proportional to 9,835.67, 13,573.64 and 5,359.67 is: 7,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.67 : 13,573.64 = 5,359.67 : x
  2. Step 2: Convert to fraction form
    9,835.67/13,573.64 = 5,359.67/x
  3. Step 3: Cross multiply
    9,835.67x = 13,573.64 × 5,359.67
  4. Step 4: Simplify right side
    9,835.67x = 72,750,204.30
  5. Step 5: Solve for x
    x = 72,750,204.30/9,835.67
  6. Step 6: Final answer
    x = 7,396.57

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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.