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Finding the Fourth Proportional to 13,837.16, 19,089.54 and 8,804.16

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Solution

The fourth proportional to 13,837.16, 19,089.54 and 8,804.16 is: 12,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.16 : 19,089.54 = 8,804.16 : x
  2. Step 2: Convert to fraction form
    13,837.16/19,089.54 = 8,804.16/x
  3. Step 3: Cross multiply
    13,837.16x = 19,089.54 × 8,804.16
  4. Step 4: Simplify right side
    13,837.16x = 168,067,364.49
  5. Step 5: Solve for x
    x = 168,067,364.49/13,837.16
  6. Step 6: Final answer
    x = 12,146.09

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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.