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Finding the Fourth Proportional to 6,283.72, 9,425.48 and 1,539.92

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Solution

The fourth proportional to 6,283.72, 9,425.48 and 1,539.92 is: 2,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.72 : 9,425.48 = 1,539.92 : x
  2. Step 2: Convert to fraction form
    6,283.72/9,425.48 = 1,539.92/x
  3. Step 3: Cross multiply
    6,283.72x = 9,425.48 × 1,539.92
  4. Step 4: Simplify right side
    6,283.72x = 14,514,477.46
  5. Step 5: Solve for x
    x = 14,514,477.46/6,283.72
  6. Step 6: Final answer
    x = 2,309.86

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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.