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Finding the Fourth Proportional to 5,769.66, 7,963.16 and 5,506.71

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Solution

The fourth proportional to 5,769.66, 7,963.16 and 5,506.71 is: 7,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.66 : 7,963.16 = 5,506.71 : x
  2. Step 2: Convert to fraction form
    5,769.66/7,963.16 = 5,506.71/x
  3. Step 3: Cross multiply
    5,769.66x = 7,963.16 × 5,506.71
  4. Step 4: Simplify right side
    5,769.66x = 43,850,808.78
  5. Step 5: Solve for x
    x = 43,850,808.78/5,769.66
  6. Step 6: Final answer
    x = 7,600.25

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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.