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Finding the Fourth Proportional to 27,701.32, 41,548.32 and 7,712.14

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Solution

The fourth proportional to 27,701.32, 41,548.32 and 7,712.14 is: 11,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701.32 : 41,548.32 = 7,712.14 : x
  2. Step 2: Convert to fraction form
    27,701.32/41,548.32 = 7,712.14/x
  3. Step 3: Cross multiply
    27,701.32x = 41,548.32 × 7,712.14
  4. Step 4: Simplify right side
    27,701.32x = 320,426,460.60
  5. Step 5: Solve for x
    x = 320,426,460.60/27,701.32
  6. Step 6: Final answer
    x = 11,567.19

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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.