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Finding the Fourth Proportional to 11,607.96, 16,019.16 and 6,302.88

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Solution

The fourth proportional to 11,607.96, 16,019.16 and 6,302.88 is: 8,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.96 : 16,019.16 = 6,302.88 : x
  2. Step 2: Convert to fraction form
    11,607.96/16,019.16 = 6,302.88/x
  3. Step 3: Cross multiply
    11,607.96x = 16,019.16 × 6,302.88
  4. Step 4: Simplify right side
    11,607.96x = 100,966,843.18
  5. Step 5: Solve for x
    x = 100,966,843.18/11,607.96
  6. Step 6: Final answer
    x = 8,698.07

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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.