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Finding the Fourth Proportional to 10,725, 14,800.55 and 6,251.84

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Solution

The fourth proportional to 10,725, 14,800.55 and 6,251.84 is: 8,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725 : 14,800.55 = 6,251.84 : x
  2. Step 2: Convert to fraction form
    10,725/14,800.55 = 6,251.84/x
  3. Step 3: Cross multiply
    10,725x = 14,800.55 × 6,251.84
  4. Step 4: Simplify right side
    10,725x = 92,530,670.51
  5. Step 5: Solve for x
    x = 92,530,670.51/10,725
  6. Step 6: Final answer
    x = 8,627.57

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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.