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Finding the Fourth Proportional to 18,034.57, 24,889 and 9,968.06

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Solution

The fourth proportional to 18,034.57, 24,889 and 9,968.06 is: 13,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034.57 : 24,889 = 9,968.06 : x
  2. Step 2: Convert to fraction form
    18,034.57/24,889 = 9,968.06/x
  3. Step 3: Cross multiply
    18,034.57x = 24,889 × 9,968.06
  4. Step 4: Simplify right side
    18,034.57x = 248,095,045.34
  5. Step 5: Solve for x
    x = 248,095,045.34/18,034.57
  6. Step 6: Final answer
    x = 13,756.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.