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Finding the Fourth Proportional to 9,657.70, 14,493.46 and 4,114.94

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Solution

The fourth proportional to 9,657.70, 14,493.46 and 4,114.94 is: 6,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.70 : 14,493.46 = 4,114.94 : x
  2. Step 2: Convert to fraction form
    9,657.70/14,493.46 = 4,114.94/x
  3. Step 3: Cross multiply
    9,657.70x = 14,493.46 × 4,114.94
  4. Step 4: Simplify right side
    9,657.70x = 59,639,718.29
  5. Step 5: Solve for x
    x = 59,639,718.29/9,657.70
  6. Step 6: Final answer
    x = 6,175.35

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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.