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Finding the Fourth Proportional to 7,057.68, 9,725.40 and 5,276.40

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Solution

The fourth proportional to 7,057.68, 9,725.40 and 5,276.40 is: 7,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.68 : 9,725.40 = 5,276.40 : x
  2. Step 2: Convert to fraction form
    7,057.68/9,725.40 = 5,276.40/x
  3. Step 3: Cross multiply
    7,057.68x = 9,725.40 × 5,276.40
  4. Step 4: Simplify right side
    7,057.68x = 51,315,100.56
  5. Step 5: Solve for x
    x = 51,315,100.56/7,057.68
  6. Step 6: Final answer
    x = 7,270.82

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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.