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Finding the Fourth Proportional to 5,311.51, 7,970.29 and 5,026.48

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Solution

The fourth proportional to 5,311.51, 7,970.29 and 5,026.48 is: 7,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.51 : 7,970.29 = 5,026.48 : x
  2. Step 2: Convert to fraction form
    5,311.51/7,970.29 = 5,026.48/x
  3. Step 3: Cross multiply
    5,311.51x = 7,970.29 × 5,026.48
  4. Step 4: Simplify right side
    5,311.51x = 40,062,470.79
  5. Step 5: Solve for x
    x = 40,062,470.79/5,311.51
  6. Step 6: Final answer
    x = 7,542.58

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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.