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Finding the Fourth Proportional to 9,599.60, 14,401.10 and 3,274.13

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Solution

The fourth proportional to 9,599.60, 14,401.10 and 3,274.13 is: 4,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.60 : 14,401.10 = 3,274.13 : x
  2. Step 2: Convert to fraction form
    9,599.60/14,401.10 = 3,274.13/x
  3. Step 3: Cross multiply
    9,599.60x = 14,401.10 × 3,274.13
  4. Step 4: Simplify right side
    9,599.60x = 47,150,985.17
  5. Step 5: Solve for x
    x = 47,150,985.17/9,599.60
  6. Step 6: Final answer
    x = 4,911.77

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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.