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Finding the Fourth Proportional to 34,801.60, 52,202.70 and 9,842.20

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Solution

The fourth proportional to 34,801.60, 52,202.70 and 9,842.20 is: 14,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,801.60 : 52,202.70 = 9,842.20 : x
  2. Step 2: Convert to fraction form
    34,801.60/52,202.70 = 9,842.20/x
  3. Step 3: Cross multiply
    34,801.60x = 52,202.70 × 9,842.20
  4. Step 4: Simplify right side
    34,801.60x = 513,789,413.94
  5. Step 5: Solve for x
    x = 513,789,413.94/34,801.60
  6. Step 6: Final answer
    x = 14,763.38

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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.