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Finding the Fourth Proportional to 27,507.24, 41,262.48 and 7,784.16

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Solution

The fourth proportional to 27,507.24, 41,262.48 and 7,784.16 is: 11,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.24 : 41,262.48 = 7,784.16 : x
  2. Step 2: Convert to fraction form
    27,507.24/41,262.48 = 7,784.16/x
  3. Step 3: Cross multiply
    27,507.24x = 41,262.48 × 7,784.16
  4. Step 4: Simplify right side
    27,507.24x = 321,193,746.32
  5. Step 5: Solve for x
    x = 321,193,746.32/27,507.24
  6. Step 6: Final answer
    x = 11,676.70

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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.