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Finding the Fourth Proportional to 24,763.43, 37,144.74 and 9,971.98

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Solution

The fourth proportional to 24,763.43, 37,144.74 and 9,971.98 is: 14,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.43 : 37,144.74 = 9,971.98 : x
  2. Step 2: Convert to fraction form
    24,763.43/37,144.74 = 9,971.98/x
  3. Step 3: Cross multiply
    24,763.43x = 37,144.74 × 9,971.98
  4. Step 4: Simplify right side
    24,763.43x = 370,406,536.45
  5. Step 5: Solve for x
    x = 370,406,536.45/24,763.43
  6. Step 6: Final answer
    x = 14,957.80

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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.