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Finding the Fourth Proportional to 7,047.40, 9,725.46 and 3,903.76

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Solution

The fourth proportional to 7,047.40, 9,725.46 and 3,903.76 is: 5,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.40 : 9,725.46 = 3,903.76 : x
  2. Step 2: Convert to fraction form
    7,047.40/9,725.46 = 3,903.76/x
  3. Step 3: Cross multiply
    7,047.40x = 9,725.46 × 3,903.76
  4. Step 4: Simplify right side
    7,047.40x = 37,965,861.73
  5. Step 5: Solve for x
    x = 37,965,861.73/7,047.40
  6. Step 6: Final answer
    x = 5,387.22

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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.