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Finding the Fourth Proportional to 6,881.87, 9,487.94 and 4,966.08

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Solution

The fourth proportional to 6,881.87, 9,487.94 and 4,966.08 is: 6,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.87 : 9,487.94 = 4,966.08 : x
  2. Step 2: Convert to fraction form
    6,881.87/9,487.94 = 4,966.08/x
  3. Step 3: Cross multiply
    6,881.87x = 9,487.94 × 4,966.08
  4. Step 4: Simplify right side
    6,881.87x = 47,117,869.08
  5. Step 5: Solve for x
    x = 47,117,869.08/6,881.87
  6. Step 6: Final answer
    x = 6,846.67

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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.