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Finding the Fourth Proportional to 9,666.46, 14,500.14 and 4,399.30

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Solution

The fourth proportional to 9,666.46, 14,500.14 and 4,399.30 is: 6,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.46 : 14,500.14 = 4,399.30 : x
  2. Step 2: Convert to fraction form
    9,666.46/14,500.14 = 4,399.30/x
  3. Step 3: Cross multiply
    9,666.46x = 14,500.14 × 4,399.30
  4. Step 4: Simplify right side
    9,666.46x = 63,790,465.90
  5. Step 5: Solve for x
    x = 63,790,465.90/9,666.46
  6. Step 6: Final answer
    x = 6,599.15

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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.