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Finding the Fourth Proportional to 9,972.77, 13,762.73 and 6,145.25

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Solution

The fourth proportional to 9,972.77, 13,762.73 and 6,145.25 is: 8,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.77 : 13,762.73 = 6,145.25 : x
  2. Step 2: Convert to fraction form
    9,972.77/13,762.73 = 6,145.25/x
  3. Step 3: Cross multiply
    9,972.77x = 13,762.73 × 6,145.25
  4. Step 4: Simplify right side
    9,972.77x = 84,575,416.53
  5. Step 5: Solve for x
    x = 84,575,416.53/9,972.77
  6. Step 6: Final answer
    x = 8,480.63

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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.