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Finding the Fourth Proportional to 5,798.16, 7,947.54 and 5,695.56

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Solution

The fourth proportional to 5,798.16, 7,947.54 and 5,695.56 is: 7,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.16 : 7,947.54 = 5,695.56 : x
  2. Step 2: Convert to fraction form
    5,798.16/7,947.54 = 5,695.56/x
  3. Step 3: Cross multiply
    5,798.16x = 7,947.54 × 5,695.56
  4. Step 4: Simplify right side
    5,798.16x = 45,265,690.92
  5. Step 5: Solve for x
    x = 45,265,690.92/5,798.16
  6. Step 6: Final answer
    x = 7,806.91

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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.