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Finding the Fourth Proportional to 11,894.16, 17,763.16 and 9,557.72

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Solution

The fourth proportional to 11,894.16, 17,763.16 and 9,557.72 is: 14,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.16 : 17,763.16 = 9,557.72 : x
  2. Step 2: Convert to fraction form
    11,894.16/17,763.16 = 9,557.72/x
  3. Step 3: Cross multiply
    11,894.16x = 17,763.16 × 9,557.72
  4. Step 4: Simplify right side
    11,894.16x = 169,775,309.60
  5. Step 5: Solve for x
    x = 169,775,309.60/11,894.16
  6. Step 6: Final answer
    x = 14,273.84

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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.