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Finding the Fourth Proportional to 9,002.40, 13,503.60 and 7,850.40

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Solution

The fourth proportional to 9,002.40, 13,503.60 and 7,850.40 is: 11,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.40 : 13,503.60 = 7,850.40 : x
  2. Step 2: Convert to fraction form
    9,002.40/13,503.60 = 7,850.40/x
  3. Step 3: Cross multiply
    9,002.40x = 13,503.60 × 7,850.40
  4. Step 4: Simplify right side
    9,002.40x = 106,008,661.44
  5. Step 5: Solve for x
    x = 106,008,661.44/9,002.40
  6. Step 6: Final answer
    x = 11,775.60

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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.