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Finding the Fourth Proportional to 9,766.03, 13,477.11 and 5,289.80

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Solution

The fourth proportional to 9,766.03, 13,477.11 and 5,289.80 is: 7,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.03 : 13,477.11 = 5,289.80 : x
  2. Step 2: Convert to fraction form
    9,766.03/13,477.11 = 5,289.80/x
  3. Step 3: Cross multiply
    9,766.03x = 13,477.11 × 5,289.80
  4. Step 4: Simplify right side
    9,766.03x = 71,291,216.48
  5. Step 5: Solve for x
    x = 71,291,216.48/9,766.03
  6. Step 6: Final answer
    x = 7,299.92

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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.