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Finding the Fourth Proportional to 9,666.90, 14,503.79 and 5,964.82

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Solution

The fourth proportional to 9,666.90, 14,503.79 and 5,964.82 is: 8,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.90 : 14,503.79 = 5,964.82 : x
  2. Step 2: Convert to fraction form
    9,666.90/14,503.79 = 5,964.82/x
  3. Step 3: Cross multiply
    9,666.90x = 14,503.79 × 5,964.82
  4. Step 4: Simplify right side
    9,666.90x = 86,512,475.32
  5. Step 5: Solve for x
    x = 86,512,475.32/9,666.90
  6. Step 6: Final answer
    x = 8,949.35

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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.