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Finding the Fourth Proportional to 9,666.78, 14,493.07 and 3,089.17

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Solution

The fourth proportional to 9,666.78, 14,493.07 and 3,089.17 is: 4,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.78 : 14,493.07 = 3,089.17 : x
  2. Step 2: Convert to fraction form
    9,666.78/14,493.07 = 3,089.17/x
  3. Step 3: Cross multiply
    9,666.78x = 14,493.07 × 3,089.17
  4. Step 4: Simplify right side
    9,666.78x = 44,771,557.05
  5. Step 5: Solve for x
    x = 44,771,557.05/9,666.78
  6. Step 6: Final answer
    x = 4,631.49

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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.