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Finding the Fourth Proportional to 27,047.67, 40,567.40 and 9,513.40

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Solution

The fourth proportional to 27,047.67, 40,567.40 and 9,513.40 is: 14,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.67 : 40,567.40 = 9,513.40 : x
  2. Step 2: Convert to fraction form
    27,047.67/40,567.40 = 9,513.40/x
  3. Step 3: Cross multiply
    27,047.67x = 40,567.40 × 9,513.40
  4. Step 4: Simplify right side
    27,047.67x = 385,933,825.52
  5. Step 5: Solve for x
    x = 385,933,825.52/27,047.67
  6. Step 6: Final answer
    x = 14,268.65

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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.