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Finding the Fourth Proportional to 5,947.74, 8,211.87 and 5,316.24

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Solution

The fourth proportional to 5,947.74, 8,211.87 and 5,316.24 is: 7,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.74 : 8,211.87 = 5,316.24 : x
  2. Step 2: Convert to fraction form
    5,947.74/8,211.87 = 5,316.24/x
  3. Step 3: Cross multiply
    5,947.74x = 8,211.87 × 5,316.24
  4. Step 4: Simplify right side
    5,947.74x = 43,656,271.77
  5. Step 5: Solve for x
    x = 43,656,271.77/5,947.74
  6. Step 6: Final answer
    x = 7,339.98

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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.