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Finding the Fourth Proportional to 11,792.77, 16,274.10 and 6,487.45

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Solution

The fourth proportional to 11,792.77, 16,274.10 and 6,487.45 is: 8,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.77 : 16,274.10 = 6,487.45 : x
  2. Step 2: Convert to fraction form
    11,792.77/16,274.10 = 6,487.45/x
  3. Step 3: Cross multiply
    11,792.77x = 16,274.10 × 6,487.45
  4. Step 4: Simplify right side
    11,792.77x = 105,577,410.05
  5. Step 5: Solve for x
    x = 105,577,410.05/11,792.77
  6. Step 6: Final answer
    x = 8,952.72

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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.