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Finding the Fourth Proportional to 7,902.48, 11,855.42 and 4,204.17

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Solution

The fourth proportional to 7,902.48, 11,855.42 and 4,204.17 is: 6,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.48 : 11,855.42 = 4,204.17 : x
  2. Step 2: Convert to fraction form
    7,902.48/11,855.42 = 4,204.17/x
  3. Step 3: Cross multiply
    7,902.48x = 11,855.42 × 4,204.17
  4. Step 4: Simplify right side
    7,902.48x = 49,842,181.97
  5. Step 5: Solve for x
    x = 49,842,181.97/7,902.48
  6. Step 6: Final answer
    x = 6,307.16

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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.