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Finding the Fourth Proportional to 5,863.74, 8,074.02 and 5,393.54

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Solution

The fourth proportional to 5,863.74, 8,074.02 and 5,393.54 is: 7,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.74 : 8,074.02 = 5,393.54 : x
  2. Step 2: Convert to fraction form
    5,863.74/8,074.02 = 5,393.54/x
  3. Step 3: Cross multiply
    5,863.74x = 8,074.02 × 5,393.54
  4. Step 4: Simplify right side
    5,863.74x = 43,547,549.83
  5. Step 5: Solve for x
    x = 43,547,549.83/5,863.74
  6. Step 6: Final answer
    x = 7,426.58

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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.