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Finding the Fourth Proportional to 9,900.46, 13,657.46 and 6,122.42

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Solution

The fourth proportional to 9,900.46, 13,657.46 and 6,122.42 is: 8,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.46 : 13,657.46 = 6,122.42 : x
  2. Step 2: Convert to fraction form
    9,900.46/13,657.46 = 6,122.42/x
  3. Step 3: Cross multiply
    9,900.46x = 13,657.46 × 6,122.42
  4. Step 4: Simplify right side
    9,900.46x = 83,616,706.25
  5. Step 5: Solve for x
    x = 83,616,706.25/9,900.46
  6. Step 6: Final answer
    x = 8,445.74

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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.