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Finding the Fourth Proportional to 28,522.98, 42,788.70 and 9,807.84

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Solution

The fourth proportional to 28,522.98, 42,788.70 and 9,807.84 is: 14,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,522.98 : 42,788.70 = 9,807.84 : x
  2. Step 2: Convert to fraction form
    28,522.98/42,788.70 = 9,807.84/x
  3. Step 3: Cross multiply
    28,522.98x = 42,788.70 × 9,807.84
  4. Step 4: Simplify right side
    28,522.98x = 419,664,723.41
  5. Step 5: Solve for x
    x = 419,664,723.41/28,522.98
  6. Step 6: Final answer
    x = 14,713.21

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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.