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Finding the Fourth Proportional to 9,902.62, 14,863.65 and 7,443.46

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Solution

The fourth proportional to 9,902.62, 14,863.65 and 7,443.46 is: 11,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.62 : 14,863.65 = 7,443.46 : x
  2. Step 2: Convert to fraction form
    9,902.62/14,863.65 = 7,443.46/x
  3. Step 3: Cross multiply
    9,902.62x = 14,863.65 × 7,443.46
  4. Step 4: Simplify right side
    9,902.62x = 110,636,984.23
  5. Step 5: Solve for x
    x = 110,636,984.23/9,902.62
  6. Step 6: Final answer
    x = 11,172.50

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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.