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Finding the Fourth Proportional to 6,283.61, 8,670.76 and 3,630.96

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Solution

The fourth proportional to 6,283.61, 8,670.76 and 3,630.96 is: 5,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.61 : 8,670.76 = 3,630.96 : x
  2. Step 2: Convert to fraction form
    6,283.61/8,670.76 = 3,630.96/x
  3. Step 3: Cross multiply
    6,283.61x = 8,670.76 × 3,630.96
  4. Step 4: Simplify right side
    6,283.61x = 31,483,139.38
  5. Step 5: Solve for x
    x = 31,483,139.38/6,283.61
  6. Step 6: Final answer
    x = 5,010.36

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Half scale
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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.