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Finding the Fourth Proportional to 9,004, 12,425.49 and 5,024.89

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Solution

The fourth proportional to 9,004, 12,425.49 and 5,024.89 is: 6,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004 : 12,425.49 = 5,024.89 : x
  2. Step 2: Convert to fraction form
    9,004/12,425.49 = 5,024.89/x
  3. Step 3: Cross multiply
    9,004x = 12,425.49 × 5,024.89
  4. Step 4: Simplify right side
    9,004x = 62,436,720.45
  5. Step 5: Solve for x
    x = 62,436,720.45/9,004
  6. Step 6: Final answer
    x = 6,934.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.