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Finding the Fourth Proportional to 7,126.53, 9,824.27 and 4,995.42

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Solution

The fourth proportional to 7,126.53, 9,824.27 and 4,995.42 is: 6,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.53 : 9,824.27 = 4,995.42 : x
  2. Step 2: Convert to fraction form
    7,126.53/9,824.27 = 4,995.42/x
  3. Step 3: Cross multiply
    7,126.53x = 9,824.27 × 4,995.42
  4. Step 4: Simplify right side
    7,126.53x = 49,076,329.87
  5. Step 5: Solve for x
    x = 49,076,329.87/7,126.53
  6. Step 6: Final answer
    x = 6,886.43

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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.