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Finding the Fourth Proportional to 9,788.94, 13,512.15 and 5,813.46

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Solution

The fourth proportional to 9,788.94, 13,512.15 and 5,813.46 is: 8,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.94 : 13,512.15 = 5,813.46 : x
  2. Step 2: Convert to fraction form
    9,788.94/13,512.15 = 5,813.46/x
  3. Step 3: Cross multiply
    9,788.94x = 13,512.15 × 5,813.46
  4. Step 4: Simplify right side
    9,788.94x = 78,552,343.54
  5. Step 5: Solve for x
    x = 78,552,343.54/9,788.94
  6. Step 6: Final answer
    x = 8,024.60

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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.