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Finding the Fourth Proportional to 9,538.88, 14,201.44 and 9,492.68

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Solution

The fourth proportional to 9,538.88, 14,201.44 and 9,492.68 is: 14,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.88 : 14,201.44 = 9,492.68 : x
  2. Step 2: Convert to fraction form
    9,538.88/14,201.44 = 9,492.68/x
  3. Step 3: Cross multiply
    9,538.88x = 14,201.44 × 9,492.68
  4. Step 4: Simplify right side
    9,538.88x = 134,809,725.46
  5. Step 5: Solve for x
    x = 134,809,725.46/9,538.88
  6. Step 6: Final answer
    x = 14,132.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.