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Finding the Fourth Proportional to 10,796.76, 16,178.94 and 9,695.16

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Solution

The fourth proportional to 10,796.76, 16,178.94 and 9,695.16 is: 14,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.76 : 16,178.94 = 9,695.16 : x
  2. Step 2: Convert to fraction form
    10,796.76/16,178.94 = 9,695.16/x
  3. Step 3: Cross multiply
    10,796.76x = 16,178.94 × 9,695.16
  4. Step 4: Simplify right side
    10,796.76x = 156,857,411.93
  5. Step 5: Solve for x
    x = 156,857,411.93/10,796.76
  6. Step 6: Final answer
    x = 14,528.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.