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Finding the Fourth Proportional to 6,507.99, 8,947.76 and 5,297.85

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Solution

The fourth proportional to 6,507.99, 8,947.76 and 5,297.85 is: 7,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.99 : 8,947.76 = 5,297.85 : x
  2. Step 2: Convert to fraction form
    6,507.99/8,947.76 = 5,297.85/x
  3. Step 3: Cross multiply
    6,507.99x = 8,947.76 × 5,297.85
  4. Step 4: Simplify right side
    6,507.99x = 47,403,863.83
  5. Step 5: Solve for x
    x = 47,403,863.83/6,507.99
  6. Step 6: Final answer
    x = 7,283.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.