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Finding the Fourth Proportional to 9,963.51, 13,734.54 and 8,192.04

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Solution

The fourth proportional to 9,963.51, 13,734.54 and 8,192.04 is: 11,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.51 : 13,734.54 = 8,192.04 : x
  2. Step 2: Convert to fraction form
    9,963.51/13,734.54 = 8,192.04/x
  3. Step 3: Cross multiply
    9,963.51x = 13,734.54 × 8,192.04
  4. Step 4: Simplify right side
    9,963.51x = 112,513,901.06
  5. Step 5: Solve for x
    x = 112,513,901.06/9,963.51
  6. Step 6: Final answer
    x = 11,292.60

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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.