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Finding the Fourth Proportional to 6,709.59, 9,259.29 and 3,725.70

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Solution

The fourth proportional to 6,709.59, 9,259.29 and 3,725.70 is: 5,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.59 : 9,259.29 = 3,725.70 : x
  2. Step 2: Convert to fraction form
    6,709.59/9,259.29 = 3,725.70/x
  3. Step 3: Cross multiply
    6,709.59x = 9,259.29 × 3,725.70
  4. Step 4: Simplify right side
    6,709.59x = 34,497,336.75
  5. Step 5: Solve for x
    x = 34,497,336.75/6,709.59
  6. Step 6: Final answer
    x = 5,141.50

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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.