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Finding the Fourth Proportional to 24,971.47, 37,458.64 and 9,389.23

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Solution

The fourth proportional to 24,971.47, 37,458.64 and 9,389.23 is: 14,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.47 : 37,458.64 = 9,389.23 : x
  2. Step 2: Convert to fraction form
    24,971.47/37,458.64 = 9,389.23/x
  3. Step 3: Cross multiply
    24,971.47x = 37,458.64 × 9,389.23
  4. Step 4: Simplify right side
    24,971.47x = 351,707,704.54
  5. Step 5: Solve for x
    x = 351,707,704.54/24,971.47
  6. Step 6: Final answer
    x = 14,084.38

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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.