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Finding the Fourth Proportional to 7,750.49, 10,552.58 and 7,725.88

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Solution

The fourth proportional to 7,750.49, 10,552.58 and 7,725.88 is: 10,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.49 : 10,552.58 = 7,725.88 : x
  2. Step 2: Convert to fraction form
    7,750.49/10,552.58 = 7,725.88/x
  3. Step 3: Cross multiply
    7,750.49x = 10,552.58 × 7,725.88
  4. Step 4: Simplify right side
    7,750.49x = 81,527,970.30
  5. Step 5: Solve for x
    x = 81,527,970.30/7,750.49
  6. Step 6: Final answer
    x = 10,519.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.