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Finding the Fourth Proportional to 9,941.53, 13,726.11 and 9,099

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Solution

The fourth proportional to 9,941.53, 13,726.11 and 9,099 is: 12,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.53 : 13,726.11 = 9,099 : x
  2. Step 2: Convert to fraction form
    9,941.53/13,726.11 = 9,099/x
  3. Step 3: Cross multiply
    9,941.53x = 13,726.11 × 9,099
  4. Step 4: Simplify right side
    9,941.53x = 124,893,874.89
  5. Step 5: Solve for x
    x = 124,893,874.89/9,941.53
  6. Step 6: Final answer
    x = 12,562.84

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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.