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Finding the Fourth Proportional to 9,193.70, 13,792.71 and 4,001.06

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Solution

The fourth proportional to 9,193.70, 13,792.71 and 4,001.06 is: 6,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.70 : 13,792.71 = 4,001.06 : x
  2. Step 2: Convert to fraction form
    9,193.70/13,792.71 = 4,001.06/x
  3. Step 3: Cross multiply
    9,193.70x = 13,792.71 × 4,001.06
  4. Step 4: Simplify right side
    9,193.70x = 55,185,391.31
  5. Step 5: Solve for x
    x = 55,185,391.31/9,193.70
  6. Step 6: Final answer
    x = 6,002.53

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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.