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Finding the Fourth Proportional to 5,726.70, 8,000.10 and 5,726.70

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Solution

The fourth proportional to 5,726.70, 8,000.10 and 5,726.70 is: 8,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.70 : 8,000.10 = 5,726.70 : x
  2. Step 2: Convert to fraction form
    5,726.70/8,000.10 = 5,726.70/x
  3. Step 3: Cross multiply
    5,726.70x = 8,000.10 × 5,726.70
  4. Step 4: Simplify right side
    5,726.70x = 45,814,172.67
  5. Step 5: Solve for x
    x = 45,814,172.67/5,726.70
  6. Step 6: Final answer
    x = 8,000.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.