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Finding the Fourth Proportional to 7,700.76, 10,622.82 and 4,556.34

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Solution

The fourth proportional to 7,700.76, 10,622.82 and 4,556.34 is: 6,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.76 : 10,622.82 = 4,556.34 : x
  2. Step 2: Convert to fraction form
    7,700.76/10,622.82 = 4,556.34/x
  3. Step 3: Cross multiply
    7,700.76x = 10,622.82 × 4,556.34
  4. Step 4: Simplify right side
    7,700.76x = 48,401,179.68
  5. Step 5: Solve for x
    x = 48,401,179.68/7,700.76
  6. Step 6: Final answer
    x = 6,285.25

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Half scale
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Double scale
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Similar ratio
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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.