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Finding the Fourth Proportional to 9,602.70, 14,401.65 and 3,678.30

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Solution

The fourth proportional to 9,602.70, 14,401.65 and 3,678.30 is: 5,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.70 : 14,401.65 = 3,678.30 : x
  2. Step 2: Convert to fraction form
    9,602.70/14,401.65 = 3,678.30/x
  3. Step 3: Cross multiply
    9,602.70x = 14,401.65 × 3,678.30
  4. Step 4: Simplify right side
    9,602.70x = 52,973,589.20
  5. Step 5: Solve for x
    x = 52,973,589.20/9,602.70
  6. Step 6: Final answer
    x = 5,516.53

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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.