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Finding the Fourth Proportional to 8,632.48, 12,950.64 and 2,476

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Solution

The fourth proportional to 8,632.48, 12,950.64 and 2,476 is: 3,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.48 : 12,950.64 = 2,476 : x
  2. Step 2: Convert to fraction form
    8,632.48/12,950.64 = 2,476/x
  3. Step 3: Cross multiply
    8,632.48x = 12,950.64 × 2,476
  4. Step 4: Simplify right side
    8,632.48x = 32,065,784.64
  5. Step 5: Solve for x
    x = 32,065,784.64/8,632.48
  6. Step 6: Final answer
    x = 3,714.55

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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.