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Finding the Fourth Proportional to 9,893.56, 13,653.14 and 5,417.61

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Solution

The fourth proportional to 9,893.56, 13,653.14 and 5,417.61 is: 7,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.56 : 13,653.14 = 5,417.61 : x
  2. Step 2: Convert to fraction form
    9,893.56/13,653.14 = 5,417.61/x
  3. Step 3: Cross multiply
    9,893.56x = 13,653.14 × 5,417.61
  4. Step 4: Simplify right side
    9,893.56x = 73,967,292.44
  5. Step 5: Solve for x
    x = 73,967,292.44/9,893.56
  6. Step 6: Final answer
    x = 7,476.31

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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.