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Finding the Fourth Proportional to 5,126, 7,651.54 and 4,400.24

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Solution

The fourth proportional to 5,126, 7,651.54 and 4,400.24 is: 6,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126 : 7,651.54 = 4,400.24 : x
  2. Step 2: Convert to fraction form
    5,126/7,651.54 = 4,400.24/x
  3. Step 3: Cross multiply
    5,126x = 7,651.54 × 4,400.24
  4. Step 4: Simplify right side
    5,126x = 33,668,612.37
  5. Step 5: Solve for x
    x = 33,668,612.37/5,126
  6. Step 6: Final answer
    x = 6,568.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.