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Finding the Fourth Proportional to 11,797.84, 16,277.16 and 6,762.64

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Solution

The fourth proportional to 11,797.84, 16,277.16 and 6,762.64 is: 9,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.84 : 16,277.16 = 6,762.64 : x
  2. Step 2: Convert to fraction form
    11,797.84/16,277.16 = 6,762.64/x
  3. Step 3: Cross multiply
    11,797.84x = 16,277.16 × 6,762.64
  4. Step 4: Simplify right side
    11,797.84x = 110,076,573.30
  5. Step 5: Solve for x
    x = 110,076,573.30/11,797.84
  6. Step 6: Final answer
    x = 9,330.23

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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.