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Finding the Fourth Proportional to 19,761.64, 27,271.10 and 10,809.12

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Solution

The fourth proportional to 19,761.64, 27,271.10 and 10,809.12 is: 14,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.64 : 27,271.10 = 10,809.12 : x
  2. Step 2: Convert to fraction form
    19,761.64/27,271.10 = 10,809.12/x
  3. Step 3: Cross multiply
    19,761.64x = 27,271.10 × 10,809.12
  4. Step 4: Simplify right side
    19,761.64x = 294,776,592.43
  5. Step 5: Solve for x
    x = 294,776,592.43/19,761.64
  6. Step 6: Final answer
    x = 14,916.61

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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.