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Finding the Fourth Proportional to 9,754.83, 14,632.14 and 3,915.54

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Solution

The fourth proportional to 9,754.83, 14,632.14 and 3,915.54 is: 5,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.83 : 14,632.14 = 3,915.54 : x
  2. Step 2: Convert to fraction form
    9,754.83/14,632.14 = 3,915.54/x
  3. Step 3: Cross multiply
    9,754.83x = 14,632.14 × 3,915.54
  4. Step 4: Simplify right side
    9,754.83x = 57,292,729.46
  5. Step 5: Solve for x
    x = 57,292,729.46/9,754.83
  6. Step 6: Final answer
    x = 5,873.27

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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.