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Finding the Fourth Proportional to 6,483.69, 9,712.59 and 4,997.72

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Solution

The fourth proportional to 6,483.69, 9,712.59 and 4,997.72 is: 7,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.69 : 9,712.59 = 4,997.72 : x
  2. Step 2: Convert to fraction form
    6,483.69/9,712.59 = 4,997.72/x
  3. Step 3: Cross multiply
    6,483.69x = 9,712.59 × 4,997.72
  4. Step 4: Simplify right side
    6,483.69x = 48,540,756.73
  5. Step 5: Solve for x
    x = 48,540,756.73/6,483.69
  6. Step 6: Final answer
    x = 7,486.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.