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Finding the Fourth Proportional to 9,333.87, 12,893 and 6,971.91

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Solution

The fourth proportional to 9,333.87, 12,893 and 6,971.91 is: 9,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.87 : 12,893 = 6,971.91 : x
  2. Step 2: Convert to fraction form
    9,333.87/12,893 = 6,971.91/x
  3. Step 3: Cross multiply
    9,333.87x = 12,893 × 6,971.91
  4. Step 4: Simplify right side
    9,333.87x = 89,888,835.63
  5. Step 5: Solve for x
    x = 89,888,835.63/9,333.87
  6. Step 6: Final answer
    x = 9,630.39

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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.