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Finding the Fourth Proportional to 9,968.88, 13,657.43 and 9,595.20

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Solution

The fourth proportional to 9,968.88, 13,657.43 and 9,595.20 is: 13,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.88 : 13,657.43 = 9,595.20 : x
  2. Step 2: Convert to fraction form
    9,968.88/13,657.43 = 9,595.20/x
  3. Step 3: Cross multiply
    9,968.88x = 13,657.43 × 9,595.20
  4. Step 4: Simplify right side
    9,968.88x = 131,045,772.34
  5. Step 5: Solve for x
    x = 131,045,772.34/9,968.88
  6. Step 6: Final answer
    x = 13,145.49

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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.