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Finding the Fourth Proportional to 9,818.35, 14,616.48 and 9,759.97

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Solution

The fourth proportional to 9,818.35, 14,616.48 and 9,759.97 is: 14,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.35 : 14,616.48 = 9,759.97 : x
  2. Step 2: Convert to fraction form
    9,818.35/14,616.48 = 9,759.97/x
  3. Step 3: Cross multiply
    9,818.35x = 14,616.48 × 9,759.97
  4. Step 4: Simplify right side
    9,818.35x = 142,656,406.31
  5. Step 5: Solve for x
    x = 142,656,406.31/9,818.35
  6. Step 6: Final answer
    x = 14,529.57

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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.