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Finding the Fourth Proportional to 13,973.77, 20,957.14 and 8,353.05

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Solution

The fourth proportional to 13,973.77, 20,957.14 and 8,353.05 is: 12,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.77 : 20,957.14 = 8,353.05 : x
  2. Step 2: Convert to fraction form
    13,973.77/20,957.14 = 8,353.05/x
  3. Step 3: Cross multiply
    13,973.77x = 20,957.14 × 8,353.05
  4. Step 4: Simplify right side
    13,973.77x = 175,056,038.28
  5. Step 5: Solve for x
    x = 175,056,038.28/13,973.77
  6. Step 6: Final answer
    x = 12,527.47

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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.