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Finding the Fourth Proportional to 5,230.64, 7,846.47 and 1,532.93

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Solution

The fourth proportional to 5,230.64, 7,846.47 and 1,532.93 is: 2,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.64 : 7,846.47 = 1,532.93 : x
  2. Step 2: Convert to fraction form
    5,230.64/7,846.47 = 1,532.93/x
  3. Step 3: Cross multiply
    5,230.64x = 7,846.47 × 1,532.93
  4. Step 4: Simplify right side
    5,230.64x = 12,028,050.02
  5. Step 5: Solve for x
    x = 12,028,050.02/5,230.64
  6. Step 6: Final answer
    x = 2,299.54

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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.