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Finding the Fourth Proportional to 7,047.57, 9,725.64 and 3,903.75

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Solution

The fourth proportional to 7,047.57, 9,725.64 and 3,903.75 is: 5,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.57 : 9,725.64 = 3,903.75 : x
  2. Step 2: Convert to fraction form
    7,047.57/9,725.64 = 3,903.75/x
  3. Step 3: Cross multiply
    7,047.57x = 9,725.64 × 3,903.75
  4. Step 4: Simplify right side
    7,047.57x = 37,966,467.15
  5. Step 5: Solve for x
    x = 37,966,467.15/7,047.57
  6. Step 6: Final answer
    x = 5,387.17

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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.