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Finding the Fourth Proportional to 13,335.68, 19,960.10 and 9,824.30

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Solution

The fourth proportional to 13,335.68, 19,960.10 and 9,824.30 is: 14,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,335.68 : 19,960.10 = 9,824.30 : x
  2. Step 2: Convert to fraction form
    13,335.68/19,960.10 = 9,824.30/x
  3. Step 3: Cross multiply
    13,335.68x = 19,960.10 × 9,824.30
  4. Step 4: Simplify right side
    13,335.68x = 196,094,010.43
  5. Step 5: Solve for x
    x = 196,094,010.43/13,335.68
  6. Step 6: Final answer
    x = 14,704.46

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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.