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Finding the Fourth Proportional to 9,407.88, 12,980.25 and 5,874.66

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Solution

The fourth proportional to 9,407.88, 12,980.25 and 5,874.66 is: 8,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.88 : 12,980.25 = 5,874.66 : x
  2. Step 2: Convert to fraction form
    9,407.88/12,980.25 = 5,874.66/x
  3. Step 3: Cross multiply
    9,407.88x = 12,980.25 × 5,874.66
  4. Step 4: Simplify right side
    9,407.88x = 76,254,555.47
  5. Step 5: Solve for x
    x = 76,254,555.47/9,407.88
  6. Step 6: Final answer
    x = 8,105.39

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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.