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Finding the Fourth Proportional to 5,134.97, 7,706.77 and 4,810.97

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Solution

The fourth proportional to 5,134.97, 7,706.77 and 4,810.97 is: 7,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.97 : 7,706.77 = 4,810.97 : x
  2. Step 2: Convert to fraction form
    5,134.97/7,706.77 = 4,810.97/x
  3. Step 3: Cross multiply
    5,134.97x = 7,706.77 × 4,810.97
  4. Step 4: Simplify right side
    5,134.97x = 37,076,988.71
  5. Step 5: Solve for x
    x = 37,076,988.71/5,134.97
  6. Step 6: Final answer
    x = 7,220.49

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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.