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Finding the Fourth Proportional to 9,850.40, 14,775.60 and 9,461.60

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Solution

The fourth proportional to 9,850.40, 14,775.60 and 9,461.60 is: 14,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.40 : 14,775.60 = 9,461.60 : x
  2. Step 2: Convert to fraction form
    9,850.40/14,775.60 = 9,461.60/x
  3. Step 3: Cross multiply
    9,850.40x = 14,775.60 × 9,461.60
  4. Step 4: Simplify right side
    9,850.40x = 139,800,816.96
  5. Step 5: Solve for x
    x = 139,800,816.96/9,850.40
  6. Step 6: Final answer
    x = 14,192.40

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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.