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Finding the Fourth Proportional to 9,912.80, 14,853.12 and 5,232.56

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Solution

The fourth proportional to 9,912.80, 14,853.12 and 5,232.56 is: 7,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.80 : 14,853.12 = 5,232.56 : x
  2. Step 2: Convert to fraction form
    9,912.80/14,853.12 = 5,232.56/x
  3. Step 3: Cross multiply
    9,912.80x = 14,853.12 × 5,232.56
  4. Step 4: Simplify right side
    9,912.80x = 77,719,841.59
  5. Step 5: Solve for x
    x = 77,719,841.59/9,912.80
  6. Step 6: Final answer
    x = 7,840.35

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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.