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Finding the Fourth Proportional to 7,725.75, 10,656.09 and 7,468.55

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Solution

The fourth proportional to 7,725.75, 10,656.09 and 7,468.55 is: 10,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.75 : 10,656.09 = 7,468.55 : x
  2. Step 2: Convert to fraction form
    7,725.75/10,656.09 = 7,468.55/x
  3. Step 3: Cross multiply
    7,725.75x = 10,656.09 × 7,468.55
  4. Step 4: Simplify right side
    7,725.75x = 79,585,587.59
  5. Step 5: Solve for x
    x = 79,585,587.59/7,725.75
  6. Step 6: Final answer
    x = 10,301.35

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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.