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Finding the Fourth Proportional to 14,135.50, 19,506.99 and 7,847.92

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Solution

The fourth proportional to 14,135.50, 19,506.99 and 7,847.92 is: 10,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.50 : 19,506.99 = 7,847.92 : x
  2. Step 2: Convert to fraction form
    14,135.50/19,506.99 = 7,847.92/x
  3. Step 3: Cross multiply
    14,135.50x = 19,506.99 × 7,847.92
  4. Step 4: Simplify right side
    14,135.50x = 153,089,296.96
  5. Step 5: Solve for x
    x = 153,089,296.96/14,135.50
  6. Step 6: Final answer
    x = 10,830.13

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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.