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Finding the Fourth Proportional to 12,803.84, 19,208.64 and 9,262.88

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Solution

The fourth proportional to 12,803.84, 19,208.64 and 9,262.88 is: 13,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.84 : 19,208.64 = 9,262.88 : x
  2. Step 2: Convert to fraction form
    12,803.84/19,208.64 = 9,262.88/x
  3. Step 3: Cross multiply
    12,803.84x = 19,208.64 × 9,262.88
  4. Step 4: Simplify right side
    12,803.84x = 177,927,327.28
  5. Step 5: Solve for x
    x = 177,927,327.28/12,803.84
  6. Step 6: Final answer
    x = 13,896.40

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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.