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Finding the Fourth Proportional to 13,762.68, 18,991.54 and 7,630.33

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Solution

The fourth proportional to 13,762.68, 18,991.54 and 7,630.33 is: 10,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.68 : 18,991.54 = 7,630.33 : x
  2. Step 2: Convert to fraction form
    13,762.68/18,991.54 = 7,630.33/x
  3. Step 3: Cross multiply
    13,762.68x = 18,991.54 × 7,630.33
  4. Step 4: Simplify right side
    13,762.68x = 144,911,688.49
  5. Step 5: Solve for x
    x = 144,911,688.49/13,762.68
  6. Step 6: Final answer
    x = 10,529.32

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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.