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Finding the Fourth Proportional to 5,000.71, 7,501.07 and 1,714.06

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Solution

The fourth proportional to 5,000.71, 7,501.07 and 1,714.06 is: 2,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.71 : 7,501.07 = 1,714.06 : x
  2. Step 2: Convert to fraction form
    5,000.71/7,501.07 = 1,714.06/x
  3. Step 3: Cross multiply
    5,000.71x = 7,501.07 × 1,714.06
  4. Step 4: Simplify right side
    5,000.71x = 12,857,290.47
  5. Step 5: Solve for x
    x = 12,857,290.47/5,000.71
  6. Step 6: Final answer
    x = 2,571.09

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Similar ratio
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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.