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Finding the Fourth Proportional to 9,813.03, 13,537.64 and 6,539.54

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Solution

The fourth proportional to 9,813.03, 13,537.64 and 6,539.54 is: 9,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.03 : 13,537.64 = 6,539.54 : x
  2. Step 2: Convert to fraction form
    9,813.03/13,537.64 = 6,539.54/x
  3. Step 3: Cross multiply
    9,813.03x = 13,537.64 × 6,539.54
  4. Step 4: Simplify right side
    9,813.03x = 88,529,868.55
  5. Step 5: Solve for x
    x = 88,529,868.55/9,813.03
  6. Step 6: Final answer
    x = 9,021.66

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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.