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Finding the Fourth Proportional to 9,968.63, 13,657.09 and 9,594.95

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Solution

The fourth proportional to 9,968.63, 13,657.09 and 9,594.95 is: 13,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.63 : 13,657.09 = 9,594.95 : x
  2. Step 2: Convert to fraction form
    9,968.63/13,657.09 = 9,594.95/x
  3. Step 3: Cross multiply
    9,968.63x = 13,657.09 × 9,594.95
  4. Step 4: Simplify right side
    9,968.63x = 131,039,095.70
  5. Step 5: Solve for x
    x = 131,039,095.70/9,968.63
  6. Step 6: Final answer
    x = 13,145.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.