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Finding the Fourth Proportional to 9,369.80, 13,988.17 and 8,333

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Solution

The fourth proportional to 9,369.80, 13,988.17 and 8,333 is: 12,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.80 : 13,988.17 = 8,333 : x
  2. Step 2: Convert to fraction form
    9,369.80/13,988.17 = 8,333/x
  3. Step 3: Cross multiply
    9,369.80x = 13,988.17 × 8,333
  4. Step 4: Simplify right side
    9,369.80x = 116,563,420.61
  5. Step 5: Solve for x
    x = 116,563,420.61/9,369.80
  6. Step 6: Final answer
    x = 12,440.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.