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Finding the Fourth Proportional to 13,333.67, 19,957.11 and 9,822.30

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Solution

The fourth proportional to 13,333.67, 19,957.11 and 9,822.30 is: 14,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.67 : 19,957.11 = 9,822.30 : x
  2. Step 2: Convert to fraction form
    13,333.67/19,957.11 = 9,822.30/x
  3. Step 3: Cross multiply
    13,333.67x = 19,957.11 × 9,822.30
  4. Step 4: Simplify right side
    13,333.67x = 196,024,684.72
  5. Step 5: Solve for x
    x = 196,024,684.72/13,333.67
  6. Step 6: Final answer
    x = 14,701.48

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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.