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Finding the Fourth Proportional to 14,030.82, 19,362.44 and 7,743.20

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Solution

The fourth proportional to 14,030.82, 19,362.44 and 7,743.20 is: 10,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.82 : 19,362.44 = 7,743.20 : x
  2. Step 2: Convert to fraction form
    14,030.82/19,362.44 = 7,743.20/x
  3. Step 3: Cross multiply
    14,030.82x = 19,362.44 × 7,743.20
  4. Step 4: Simplify right side
    14,030.82x = 149,927,167.95
  5. Step 5: Solve for x
    x = 149,927,167.95/14,030.82
  6. Step 6: Final answer
    x = 10,685.56

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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.