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Finding the Fourth Proportional to 9,662.03, 14,406.49 and 9,487.07

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Solution

The fourth proportional to 9,662.03, 14,406.49 and 9,487.07 is: 14,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.03 : 14,406.49 = 9,487.07 : x
  2. Step 2: Convert to fraction form
    9,662.03/14,406.49 = 9,487.07/x
  3. Step 3: Cross multiply
    9,662.03x = 14,406.49 × 9,487.07
  4. Step 4: Simplify right side
    9,662.03x = 136,675,307.05
  5. Step 5: Solve for x
    x = 136,675,307.05/9,662.03
  6. Step 6: Final answer
    x = 14,145.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.