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Finding the Fourth Proportional to 12,771.47, 19,277.16 and 12,771.47

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Solution

The fourth proportional to 12,771.47, 19,277.16 and 12,771.47 is: 19,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.47 : 19,277.16 = 12,771.47 : x
  2. Step 2: Convert to fraction form
    12,771.47/19,277.16 = 12,771.47/x
  3. Step 3: Cross multiply
    12,771.47x = 19,277.16 × 12,771.47
  4. Step 4: Simplify right side
    12,771.47x = 246,197,647.84
  5. Step 5: Solve for x
    x = 246,197,647.84/12,771.47
  6. Step 6: Final answer
    x = 19,277.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.