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Finding the Fourth Proportional to 5,714.74, 8,572.13 and 2,014.96

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Solution

The fourth proportional to 5,714.74, 8,572.13 and 2,014.96 is: 3,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.74 : 8,572.13 = 2,014.96 : x
  2. Step 2: Convert to fraction form
    5,714.74/8,572.13 = 2,014.96/x
  3. Step 3: Cross multiply
    5,714.74x = 8,572.13 × 2,014.96
  4. Step 4: Simplify right side
    5,714.74x = 17,272,482.67
  5. Step 5: Solve for x
    x = 17,272,482.67/5,714.74
  6. Step 6: Final answer
    x = 3,022.45

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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.