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Finding the Fourth Proportional to 11,602.79, 16,011.86 and 6,297.60

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Solution

The fourth proportional to 11,602.79, 16,011.86 and 6,297.60 is: 8,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.79 : 16,011.86 = 6,297.60 : x
  2. Step 2: Convert to fraction form
    11,602.79/16,011.86 = 6,297.60/x
  3. Step 3: Cross multiply
    11,602.79x = 16,011.86 × 6,297.60
  4. Step 4: Simplify right side
    11,602.79x = 100,836,305.28
  5. Step 5: Solve for x
    x = 100,836,305.28/11,602.79
  6. Step 6: Final answer
    x = 8,690.70

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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.