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Finding the Fourth Proportional to 27,047.42, 40,567.03 and 9,513.15

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Solution

The fourth proportional to 27,047.42, 40,567.03 and 9,513.15 is: 14,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.42 : 40,567.03 = 9,513.15 : x
  2. Step 2: Convert to fraction form
    27,047.42/40,567.03 = 9,513.15/x
  3. Step 3: Cross multiply
    27,047.42x = 40,567.03 × 9,513.15
  4. Step 4: Simplify right side
    27,047.42x = 385,920,193.88
  5. Step 5: Solve for x
    x = 385,920,193.88/27,047.42
  6. Step 6: Final answer
    x = 14,268.28

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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.