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Finding the Fourth Proportional to 5,809.61, 8,714.33 and 1,427.10

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Solution

The fourth proportional to 5,809.61, 8,714.33 and 1,427.10 is: 2,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.61 : 8,714.33 = 1,427.10 : x
  2. Step 2: Convert to fraction form
    5,809.61/8,714.33 = 1,427.10/x
  3. Step 3: Cross multiply
    5,809.61x = 8,714.33 × 1,427.10
  4. Step 4: Simplify right side
    5,809.61x = 12,436,242.93
  5. Step 5: Solve for x
    x = 12,436,242.93/5,809.61
  6. Step 6: Final answer
    x = 2,140.63

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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.