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Finding the Fourth Proportional to 27,548.84, 41,323.18 and 7,827.60

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Solution

The fourth proportional to 27,548.84, 41,323.18 and 7,827.60 is: 11,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.84 : 41,323.18 = 7,827.60 : x
  2. Step 2: Convert to fraction form
    27,548.84/41,323.18 = 7,827.60/x
  3. Step 3: Cross multiply
    27,548.84x = 41,323.18 × 7,827.60
  4. Step 4: Simplify right side
    27,548.84x = 323,461,323.77
  5. Step 5: Solve for x
    x = 323,461,323.77/27,548.84
  6. Step 6: Final answer
    x = 11,741.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.