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Finding the Fourth Proportional to 9,264.80, 12,784.92 and 5,072.24

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Solution

The fourth proportional to 9,264.80, 12,784.92 and 5,072.24 is: 6,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.80 : 12,784.92 = 5,072.24 : x
  2. Step 2: Convert to fraction form
    9,264.80/12,784.92 = 5,072.24/x
  3. Step 3: Cross multiply
    9,264.80x = 12,784.92 × 5,072.24
  4. Step 4: Simplify right side
    9,264.80x = 64,848,182.62
  5. Step 5: Solve for x
    x = 64,848,182.62/9,264.80
  6. Step 6: Final answer
    x = 6,999.42

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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.