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Finding the Fourth Proportional to 7,792.36, 10,749.18 and 4,993

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Solution

The fourth proportional to 7,792.36, 10,749.18 and 4,993 is: 6,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.36 : 10,749.18 = 4,993 : x
  2. Step 2: Convert to fraction form
    7,792.36/10,749.18 = 4,993/x
  3. Step 3: Cross multiply
    7,792.36x = 10,749.18 × 4,993
  4. Step 4: Simplify right side
    7,792.36x = 53,670,655.74
  5. Step 5: Solve for x
    x = 53,670,655.74/7,792.36
  6. Step 6: Final answer
    x = 6,887.60

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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.