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Finding the Fourth Proportional to 6,711.70, 10,063.93 and 5,147.84

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Solution

The fourth proportional to 6,711.70, 10,063.93 and 5,147.84 is: 7,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.70 : 10,063.93 = 5,147.84 : x
  2. Step 2: Convert to fraction form
    6,711.70/10,063.93 = 5,147.84/x
  3. Step 3: Cross multiply
    6,711.70x = 10,063.93 × 5,147.84
  4. Step 4: Simplify right side
    6,711.70x = 51,807,501.41
  5. Step 5: Solve for x
    x = 51,807,501.41/6,711.70
  6. Step 6: Final answer
    x = 7,718.98

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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.