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Finding the Fourth Proportional to 9,993.90, 13,792.03 and 5,746.34

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Solution

The fourth proportional to 9,993.90, 13,792.03 and 5,746.34 is: 7,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.90 : 13,792.03 = 5,746.34 : x
  2. Step 2: Convert to fraction form
    9,993.90/13,792.03 = 5,746.34/x
  3. Step 3: Cross multiply
    9,993.90x = 13,792.03 × 5,746.34
  4. Step 4: Simplify right side
    9,993.90x = 79,253,693.67
  5. Step 5: Solve for x
    x = 79,253,693.67/9,993.90
  6. Step 6: Final answer
    x = 7,930.21

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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.