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Finding the Fourth Proportional to 24,597.84, 36,898.92 and 7,958.28

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Solution

The fourth proportional to 24,597.84, 36,898.92 and 7,958.28 is: 11,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.84 : 36,898.92 = 7,958.28 : x
  2. Step 2: Convert to fraction form
    24,597.84/36,898.92 = 7,958.28/x
  3. Step 3: Cross multiply
    24,597.84x = 36,898.92 × 7,958.28
  4. Step 4: Simplify right side
    24,597.84x = 293,651,937.06
  5. Step 5: Solve for x
    x = 293,651,937.06/24,597.84
  6. Step 6: Final answer
    x = 11,938.12

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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.