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Finding the Fourth Proportional to 13,762.71, 19,003.21 and 8,984.12

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Solution

The fourth proportional to 13,762.71, 19,003.21 and 8,984.12 is: 12,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.71 : 19,003.21 = 8,984.12 : x
  2. Step 2: Convert to fraction form
    13,762.71/19,003.21 = 8,984.12/x
  3. Step 3: Cross multiply
    13,762.71x = 19,003.21 × 8,984.12
  4. Step 4: Simplify right side
    13,762.71x = 170,727,001.55
  5. Step 5: Solve for x
    x = 170,727,001.55/13,762.71
  6. Step 6: Final answer
    x = 12,405.04

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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.