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Finding the Fourth Proportional to 5,614.44, 7,753.50 and 4,623

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Solution

The fourth proportional to 5,614.44, 7,753.50 and 4,623 is: 6,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.44 : 7,753.50 = 4,623 : x
  2. Step 2: Convert to fraction form
    5,614.44/7,753.50 = 4,623/x
  3. Step 3: Cross multiply
    5,614.44x = 7,753.50 × 4,623
  4. Step 4: Simplify right side
    5,614.44x = 35,844,430.50
  5. Step 5: Solve for x
    x = 35,844,430.50/5,614.44
  6. Step 6: Final answer
    x = 6,384.33

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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.