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Finding the Fourth Proportional to 24,706.50, 37,063.59 and 8,294.34

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Solution

The fourth proportional to 24,706.50, 37,063.59 and 8,294.34 is: 12,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.50 : 37,063.59 = 8,294.34 : x
  2. Step 2: Convert to fraction form
    24,706.50/37,063.59 = 8,294.34/x
  3. Step 3: Cross multiply
    24,706.50x = 37,063.59 × 8,294.34
  4. Step 4: Simplify right side
    24,706.50x = 307,418,017.08
  5. Step 5: Solve for x
    x = 307,418,017.08/24,706.50
  6. Step 6: Final answer
    x = 12,442.80

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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.