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Finding the Fourth Proportional to 9,893.81, 13,653.46 and 5,417.84

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Solution

The fourth proportional to 9,893.81, 13,653.46 and 5,417.84 is: 7,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.81 : 13,653.46 = 5,417.84 : x
  2. Step 2: Convert to fraction form
    9,893.81/13,653.46 = 5,417.84/x
  3. Step 3: Cross multiply
    9,893.81x = 13,653.46 × 5,417.84
  4. Step 4: Simplify right side
    9,893.81x = 73,972,166.37
  5. Step 5: Solve for x
    x = 73,972,166.37/9,893.81
  6. Step 6: Final answer
    x = 7,476.61

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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.