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Finding the Fourth Proportional to 5,674.50, 7,827.54 and 4,711.97

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Solution

The fourth proportional to 5,674.50, 7,827.54 and 4,711.97 is: 6,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.50 : 7,827.54 = 4,711.97 : x
  2. Step 2: Convert to fraction form
    5,674.50/7,827.54 = 4,711.97/x
  3. Step 3: Cross multiply
    5,674.50x = 7,827.54 × 4,711.97
  4. Step 4: Simplify right side
    5,674.50x = 36,883,094.52
  5. Step 5: Solve for x
    x = 36,883,094.52/5,674.50
  6. Step 6: Final answer
    x = 6,499.80

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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.