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Finding the Fourth Proportional to 9,295.64, 13,876.60 and 7,965.06

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Solution

The fourth proportional to 9,295.64, 13,876.60 and 7,965.06 is: 11,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.64 : 13,876.60 = 7,965.06 : x
  2. Step 2: Convert to fraction form
    9,295.64/13,876.60 = 7,965.06/x
  3. Step 3: Cross multiply
    9,295.64x = 13,876.60 × 7,965.06
  4. Step 4: Simplify right side
    9,295.64x = 110,527,951.60
  5. Step 5: Solve for x
    x = 110,527,951.60/9,295.64
  6. Step 6: Final answer
    x = 11,890.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.