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Finding the Fourth Proportional to 11,563.16, 15,963.06 and 8,020.22

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Solution

The fourth proportional to 11,563.16, 15,963.06 and 8,020.22 is: 11,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.16 : 15,963.06 = 8,020.22 : x
  2. Step 2: Convert to fraction form
    11,563.16/15,963.06 = 8,020.22/x
  3. Step 3: Cross multiply
    11,563.16x = 15,963.06 × 8,020.22
  4. Step 4: Simplify right side
    11,563.16x = 128,027,253.07
  5. Step 5: Solve for x
    x = 128,027,253.07/11,563.16
  6. Step 6: Final answer
    x = 11,072.00

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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.