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Finding the Fourth Proportional to 9,557.60, 13,211.52 and 7,976.48

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Solution

The fourth proportional to 9,557.60, 13,211.52 and 7,976.48 is: 11,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.60 : 13,211.52 = 7,976.48 : x
  2. Step 2: Convert to fraction form
    9,557.60/13,211.52 = 7,976.48/x
  3. Step 3: Cross multiply
    9,557.60x = 13,211.52 × 7,976.48
  4. Step 4: Simplify right side
    9,557.60x = 105,381,425.05
  5. Step 5: Solve for x
    x = 105,381,425.05/9,557.60
  6. Step 6: Final answer
    x = 11,025.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.