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Finding the Fourth Proportional to 9,745.68, 13,448.04 and 5,766.03

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Solution

The fourth proportional to 9,745.68, 13,448.04 and 5,766.03 is: 7,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.68 : 13,448.04 = 5,766.03 : x
  2. Step 2: Convert to fraction form
    9,745.68/13,448.04 = 5,766.03/x
  3. Step 3: Cross multiply
    9,745.68x = 13,448.04 × 5,766.03
  4. Step 4: Simplify right side
    9,745.68x = 77,541,802.08
  5. Step 5: Solve for x
    x = 77,541,802.08/9,745.68
  6. Step 6: Final answer
    x = 7,956.53

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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.