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Finding the Fourth Proportional to 27,499.40, 41,249.10 and 9,031.40

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Solution

The fourth proportional to 27,499.40, 41,249.10 and 9,031.40 is: 13,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499.40 : 41,249.10 = 9,031.40 : x
  2. Step 2: Convert to fraction form
    27,499.40/41,249.10 = 9,031.40/x
  3. Step 3: Cross multiply
    27,499.40x = 41,249.10 × 9,031.40
  4. Step 4: Simplify right side
    27,499.40x = 372,537,121.74
  5. Step 5: Solve for x
    x = 372,537,121.74/27,499.40
  6. Step 6: Final answer
    x = 13,547.10

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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.