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Finding the Fourth Proportional to 27,655.98, 41,492.34 and 9,884.34

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Solution

The fourth proportional to 27,655.98, 41,492.34 and 9,884.34 is: 14,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,655.98 : 41,492.34 = 9,884.34 : x
  2. Step 2: Convert to fraction form
    27,655.98/41,492.34 = 9,884.34/x
  3. Step 3: Cross multiply
    27,655.98x = 41,492.34 × 9,884.34
  4. Step 4: Simplify right side
    27,655.98x = 410,124,395.96
  5. Step 5: Solve for x
    x = 410,124,395.96/27,655.98
  6. Step 6: Final answer
    x = 14,829.50

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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.