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Finding the Fourth Proportional to 8,653.72, 11,943.24 and 5,672.08

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Solution

The fourth proportional to 8,653.72, 11,943.24 and 5,672.08 is: 7,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.72 : 11,943.24 = 5,672.08 : x
  2. Step 2: Convert to fraction form
    8,653.72/11,943.24 = 5,672.08/x
  3. Step 3: Cross multiply
    8,653.72x = 11,943.24 × 5,672.08
  4. Step 4: Simplify right side
    8,653.72x = 67,743,012.74
  5. Step 5: Solve for x
    x = 67,743,012.74/8,653.72
  6. Step 6: Final answer
    x = 7,828.20

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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.