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Finding the Fourth Proportional to 9,333, 12,878.28 and 5,353.38

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Solution

The fourth proportional to 9,333, 12,878.28 and 5,353.38 is: 7,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333 : 12,878.28 = 5,353.38 : x
  2. Step 2: Convert to fraction form
    9,333/12,878.28 = 5,353.38/x
  3. Step 3: Cross multiply
    9,333x = 12,878.28 × 5,353.38
  4. Step 4: Simplify right side
    9,333x = 68,942,326.59
  5. Step 5: Solve for x
    x = 68,942,326.59/9,333
  6. Step 6: Final answer
    x = 7,386.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.