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Finding the Fourth Proportional to 10,051.84, 13,863.84 and 8,919.04

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Solution

The fourth proportional to 10,051.84, 13,863.84 and 8,919.04 is: 12,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.84 : 13,863.84 = 8,919.04 : x
  2. Step 2: Convert to fraction form
    10,051.84/13,863.84 = 8,919.04/x
  3. Step 3: Cross multiply
    10,051.84x = 13,863.84 × 8,919.04
  4. Step 4: Simplify right side
    10,051.84x = 123,652,143.51
  5. Step 5: Solve for x
    x = 123,652,143.51/10,051.84
  6. Step 6: Final answer
    x = 12,301.44

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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.