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Finding the Fourth Proportional to 27,142.68, 40,712.58 and 8,674.68

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Solution

The fourth proportional to 27,142.68, 40,712.58 and 8,674.68 is: 13,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.68 : 40,712.58 = 8,674.68 : x
  2. Step 2: Convert to fraction form
    27,142.68/40,712.58 = 8,674.68/x
  3. Step 3: Cross multiply
    27,142.68x = 40,712.58 × 8,674.68
  4. Step 4: Simplify right side
    27,142.68x = 353,168,603.47
  5. Step 5: Solve for x
    x = 353,168,603.47/27,142.68
  6. Step 6: Final answer
    x = 13,011.56

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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.