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Finding the Fourth Proportional to 14,032.76, 19,365.09 and 7,745

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Solution

The fourth proportional to 14,032.76, 19,365.09 and 7,745 is: 10,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.76 : 19,365.09 = 7,745 : x
  2. Step 2: Convert to fraction form
    14,032.76/19,365.09 = 7,745/x
  3. Step 3: Cross multiply
    14,032.76x = 19,365.09 × 7,745
  4. Step 4: Simplify right side
    14,032.76x = 149,982,583.33
  5. Step 5: Solve for x
    x = 149,982,583.33/14,032.76
  6. Step 6: Final answer
    x = 10,688.03

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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.