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Finding the Fourth Proportional to 14,561.60, 21,847.80 and 5,802.80

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Solution

The fourth proportional to 14,561.60, 21,847.80 and 5,802.80 is: 8,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.60 : 21,847.80 = 5,802.80 : x
  2. Step 2: Convert to fraction form
    14,561.60/21,847.80 = 5,802.80/x
  3. Step 3: Cross multiply
    14,561.60x = 21,847.80 × 5,802.80
  4. Step 4: Simplify right side
    14,561.60x = 126,778,413.84
  5. Step 5: Solve for x
    x = 126,778,413.84/14,561.60
  6. Step 6: Final answer
    x = 8,706.35

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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.