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Finding the Fourth Proportional to 9,803.92, 14,671.32 and 7,476.88

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Solution

The fourth proportional to 9,803.92, 14,671.32 and 7,476.88 is: 11,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.92 : 14,671.32 = 7,476.88 : x
  2. Step 2: Convert to fraction form
    9,803.92/14,671.32 = 7,476.88/x
  3. Step 3: Cross multiply
    9,803.92x = 14,671.32 × 7,476.88
  4. Step 4: Simplify right side
    9,803.92x = 109,695,699.08
  5. Step 5: Solve for x
    x = 109,695,699.08/9,803.92
  6. Step 6: Final answer
    x = 11,188.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.