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Finding the Fourth Proportional to 27,114.24, 40,670.88 and 8,646.24

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Solution

The fourth proportional to 27,114.24, 40,670.88 and 8,646.24 is: 12,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.24 : 40,670.88 = 8,646.24 : x
  2. Step 2: Convert to fraction form
    27,114.24/40,670.88 = 8,646.24/x
  3. Step 3: Cross multiply
    27,114.24x = 40,670.88 × 8,646.24
  4. Step 4: Simplify right side
    27,114.24x = 351,650,189.49
  5. Step 5: Solve for x
    x = 351,650,189.49/27,114.24
  6. Step 6: Final answer
    x = 12,969.21

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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.