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Finding the Fourth Proportional to 27,010.30, 40,513.53 and 7,289.98

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Solution

The fourth proportional to 27,010.30, 40,513.53 and 7,289.98 is: 10,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010.30 : 40,513.53 = 7,289.98 : x
  2. Step 2: Convert to fraction form
    27,010.30/40,513.53 = 7,289.98/x
  3. Step 3: Cross multiply
    27,010.30x = 40,513.53 × 7,289.98
  4. Step 4: Simplify right side
    27,010.30x = 295,342,823.43
  5. Step 5: Solve for x
    x = 295,342,823.43/27,010.30
  6. Step 6: Final answer
    x = 10,934.45

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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.