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Finding the Fourth Proportional to 30,829.41, 46,251.95 and 8,642.88

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Solution

The fourth proportional to 30,829.41, 46,251.95 and 8,642.88 is: 12,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.41 : 46,251.95 = 8,642.88 : x
  2. Step 2: Convert to fraction form
    30,829.41/46,251.95 = 8,642.88/x
  3. Step 3: Cross multiply
    30,829.41x = 46,251.95 × 8,642.88
  4. Step 4: Simplify right side
    30,829.41x = 399,750,010.40
  5. Step 5: Solve for x
    x = 399,750,010.40/30,829.41
  6. Step 6: Final answer
    x = 12,966.52

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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.