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Finding the Fourth Proportional to 5,134.08, 7,702.12 and 1,624.94

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Solution

The fourth proportional to 5,134.08, 7,702.12 and 1,624.94 is: 2,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.08 : 7,702.12 = 1,624.94 : x
  2. Step 2: Convert to fraction form
    5,134.08/7,702.12 = 1,624.94/x
  3. Step 3: Cross multiply
    5,134.08x = 7,702.12 × 1,624.94
  4. Step 4: Simplify right side
    5,134.08x = 12,515,482.87
  5. Step 5: Solve for x
    x = 12,515,482.87/5,134.08
  6. Step 6: Final answer
    x = 2,437.73

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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.