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Finding the Fourth Proportional to 9,277.30, 13,021.03 and 9,277.30

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Solution

The fourth proportional to 9,277.30, 13,021.03 and 9,277.30 is: 13,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.30 : 13,021.03 = 9,277.30 : x
  2. Step 2: Convert to fraction form
    9,277.30/13,021.03 = 9,277.30/x
  3. Step 3: Cross multiply
    9,277.30x = 13,021.03 × 9,277.30
  4. Step 4: Simplify right side
    9,277.30x = 120,800,001.62
  5. Step 5: Solve for x
    x = 120,800,001.62/9,277.30
  6. Step 6: Final answer
    x = 13,021.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.