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Finding the Fourth Proportional to 9,853.60, 14,761.20 and 5,946.40

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Solution

The fourth proportional to 9,853.60, 14,761.20 and 5,946.40 is: 8,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.60 : 14,761.20 = 5,946.40 : x
  2. Step 2: Convert to fraction form
    9,853.60/14,761.20 = 5,946.40/x
  3. Step 3: Cross multiply
    9,853.60x = 14,761.20 × 5,946.40
  4. Step 4: Simplify right side
    9,853.60x = 87,775,999.68
  5. Step 5: Solve for x
    x = 87,775,999.68/9,853.60
  6. Step 6: Final answer
    x = 8,908.01

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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.