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Finding the Fourth Proportional to 9,296.59, 13,953.99 and 6,824.40

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Solution

The fourth proportional to 9,296.59, 13,953.99 and 6,824.40 is: 10,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.59 : 13,953.99 = 6,824.40 : x
  2. Step 2: Convert to fraction form
    9,296.59/13,953.99 = 6,824.40/x
  3. Step 3: Cross multiply
    9,296.59x = 13,953.99 × 6,824.40
  4. Step 4: Simplify right side
    9,296.59x = 95,227,505.46
  5. Step 5: Solve for x
    x = 95,227,505.46/9,296.59
  6. Step 6: Final answer
    x = 10,243.28

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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.