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Finding the Fourth Proportional to 6,709.48, 9,259.14 and 3,725.20

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Solution

The fourth proportional to 6,709.48, 9,259.14 and 3,725.20 is: 5,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.48 : 9,259.14 = 3,725.20 : x
  2. Step 2: Convert to fraction form
    6,709.48/9,259.14 = 3,725.20/x
  3. Step 3: Cross multiply
    6,709.48x = 9,259.14 × 3,725.20
  4. Step 4: Simplify right side
    6,709.48x = 34,492,148.33
  5. Step 5: Solve for x
    x = 34,492,148.33/6,709.48
  6. Step 6: Final answer
    x = 5,140.81

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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.