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Finding the Fourth Proportional to 12,762.83, 17,613.08 and 7,727.97

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Solution

The fourth proportional to 12,762.83, 17,613.08 and 7,727.97 is: 10,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.83 : 17,613.08 = 7,727.97 : x
  2. Step 2: Convert to fraction form
    12,762.83/17,613.08 = 7,727.97/x
  3. Step 3: Cross multiply
    12,762.83x = 17,613.08 × 7,727.97
  4. Step 4: Simplify right side
    12,762.83x = 136,113,373.17
  5. Step 5: Solve for x
    x = 136,113,373.17/12,762.83
  6. Step 6: Final answer
    x = 10,664.82

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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.