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Finding the Fourth Proportional to 11,664.04, 16,096.88 and 6,359.16

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Solution

The fourth proportional to 11,664.04, 16,096.88 and 6,359.16 is: 8,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.04 : 16,096.88 = 6,359.16 : x
  2. Step 2: Convert to fraction form
    11,664.04/16,096.88 = 6,359.16/x
  3. Step 3: Cross multiply
    11,664.04x = 16,096.88 × 6,359.16
  4. Step 4: Simplify right side
    11,664.04x = 102,362,635.42
  5. Step 5: Solve for x
    x = 102,362,635.42/11,664.04
  6. Step 6: Final answer
    x = 8,775.92

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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.