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Finding the Fourth Proportional to 9,914.10, 14,850.45 and 4,653.60

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Solution

The fourth proportional to 9,914.10, 14,850.45 and 4,653.60 is: 6,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.10 : 14,850.45 = 4,653.60 : x
  2. Step 2: Convert to fraction form
    9,914.10/14,850.45 = 4,653.60/x
  3. Step 3: Cross multiply
    9,914.10x = 14,850.45 × 4,653.60
  4. Step 4: Simplify right side
    9,914.10x = 69,108,054.12
  5. Step 5: Solve for x
    x = 69,108,054.12/9,914.10
  6. Step 6: Final answer
    x = 6,970.68

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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.