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Finding the Fourth Proportional to 5,615.07, 7,744.26 and 4,941.42

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Solution

The fourth proportional to 5,615.07, 7,744.26 and 4,941.42 is: 6,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.07 : 7,744.26 = 4,941.42 : x
  2. Step 2: Convert to fraction form
    5,615.07/7,744.26 = 4,941.42/x
  3. Step 3: Cross multiply
    5,615.07x = 7,744.26 × 4,941.42
  4. Step 4: Simplify right side
    5,615.07x = 38,267,641.25
  5. Step 5: Solve for x
    x = 38,267,641.25/5,615.07
  6. Step 6: Final answer
    x = 6,815.17

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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.