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Finding the Fourth Proportional to 9,803.40, 14,696.46 and 4,615.56

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Solution

The fourth proportional to 9,803.40, 14,696.46 and 4,615.56 is: 6,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.40 : 14,696.46 = 4,615.56 : x
  2. Step 2: Convert to fraction form
    9,803.40/14,696.46 = 4,615.56/x
  3. Step 3: Cross multiply
    9,803.40x = 14,696.46 × 4,615.56
  4. Step 4: Simplify right side
    9,803.40x = 67,832,392.92
  5. Step 5: Solve for x
    x = 67,832,392.92/9,803.40
  6. Step 6: Final answer
    x = 6,919.27

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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.