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Finding the Fourth Proportional to 5,947.25, 8,902.64 and 5,322.74

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Solution

The fourth proportional to 5,947.25, 8,902.64 and 5,322.74 is: 7,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.25 : 8,902.64 = 5,322.74 : x
  2. Step 2: Convert to fraction form
    5,947.25/8,902.64 = 5,322.74/x
  3. Step 3: Cross multiply
    5,947.25x = 8,902.64 × 5,322.74
  4. Step 4: Simplify right side
    5,947.25x = 47,386,406.83
  5. Step 5: Solve for x
    x = 47,386,406.83/5,947.25
  6. Step 6: Final answer
    x = 7,967.79

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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.