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Finding the Fourth Proportional to 9,963.60, 14,932.60 and 7,643.60

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Solution

The fourth proportional to 9,963.60, 14,932.60 and 7,643.60 is: 11,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.60 : 14,932.60 = 7,643.60 : x
  2. Step 2: Convert to fraction form
    9,963.60/14,932.60 = 7,643.60/x
  3. Step 3: Cross multiply
    9,963.60x = 14,932.60 × 7,643.60
  4. Step 4: Simplify right side
    9,963.60x = 114,138,821.36
  5. Step 5: Solve for x
    x = 114,138,821.36/9,963.60
  6. Step 6: Final answer
    x = 11,455.58

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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.