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Finding the Fourth Proportional to 9,696.40, 14,544.60 and 9,043.60

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Solution

The fourth proportional to 9,696.40, 14,544.60 and 9,043.60 is: 13,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.40 : 14,544.60 = 9,043.60 : x
  2. Step 2: Convert to fraction form
    9,696.40/14,544.60 = 9,043.60/x
  3. Step 3: Cross multiply
    9,696.40x = 14,544.60 × 9,043.60
  4. Step 4: Simplify right side
    9,696.40x = 131,535,544.56
  5. Step 5: Solve for x
    x = 131,535,544.56/9,696.40
  6. Step 6: Final answer
    x = 13,565.40

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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.