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Finding the Fourth Proportional to 7,829.64, 10,805.94 and 5,043.24

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Solution

The fourth proportional to 7,829.64, 10,805.94 and 5,043.24 is: 6,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.64 : 10,805.94 = 5,043.24 : x
  2. Step 2: Convert to fraction form
    7,829.64/10,805.94 = 5,043.24/x
  3. Step 3: Cross multiply
    7,829.64x = 10,805.94 × 5,043.24
  4. Step 4: Simplify right side
    7,829.64x = 54,496,948.85
  5. Step 5: Solve for x
    x = 54,496,948.85/7,829.64
  6. Step 6: Final answer
    x = 6,960.34

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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.