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Finding the Fourth Proportional to 6,810.96, 10,202.76 and 4,965.98

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Solution

The fourth proportional to 6,810.96, 10,202.76 and 4,965.98 is: 7,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.96 : 10,202.76 = 4,965.98 : x
  2. Step 2: Convert to fraction form
    6,810.96/10,202.76 = 4,965.98/x
  3. Step 3: Cross multiply
    6,810.96x = 10,202.76 × 4,965.98
  4. Step 4: Simplify right side
    6,810.96x = 50,666,702.10
  5. Step 5: Solve for x
    x = 50,666,702.10/6,810.96
  6. Step 6: Final answer
    x = 7,439.00

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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.