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Finding the Fourth Proportional to 11,492.97, 15,860.04 and 6,388.16

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Solution

The fourth proportional to 11,492.97, 15,860.04 and 6,388.16 is: 8,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.97 : 15,860.04 = 6,388.16 : x
  2. Step 2: Convert to fraction form
    11,492.97/15,860.04 = 6,388.16/x
  3. Step 3: Cross multiply
    11,492.97x = 15,860.04 × 6,388.16
  4. Step 4: Simplify right side
    11,492.97x = 101,316,393.83
  5. Step 5: Solve for x
    x = 101,316,393.83/11,492.97
  6. Step 6: Final answer
    x = 8,815.51

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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.