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Finding the Fourth Proportional to 9,396.64, 12,966.78 and 5,204.89

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Solution

The fourth proportional to 9,396.64, 12,966.78 and 5,204.89 is: 7,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.64 : 12,966.78 = 5,204.89 : x
  2. Step 2: Convert to fraction form
    9,396.64/12,966.78 = 5,204.89/x
  3. Step 3: Cross multiply
    9,396.64x = 12,966.78 × 5,204.89
  4. Step 4: Simplify right side
    9,396.64x = 67,490,663.55
  5. Step 5: Solve for x
    x = 67,490,663.55/9,396.64
  6. Step 6: Final answer
    x = 7,182.43

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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.