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Finding the Fourth Proportional to 27,547.42, 41,321.13 and 7,823.42

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Solution

The fourth proportional to 27,547.42, 41,321.13 and 7,823.42 is: 11,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.42 : 41,321.13 = 7,823.42 : x
  2. Step 2: Convert to fraction form
    27,547.42/41,321.13 = 7,823.42/x
  3. Step 3: Cross multiply
    27,547.42x = 41,321.13 × 7,823.42
  4. Step 4: Simplify right side
    27,547.42x = 323,272,348.26
  5. Step 5: Solve for x
    x = 323,272,348.26/27,547.42
  6. Step 6: Final answer
    x = 11,735.12

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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.