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Finding the Fourth Proportional to 14,027.16, 19,357.88 and 7,739.94

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Solution

The fourth proportional to 14,027.16, 19,357.88 and 7,739.94 is: 10,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.16 : 19,357.88 = 7,739.94 : x
  2. Step 2: Convert to fraction form
    14,027.16/19,357.88 = 7,739.94/x
  3. Step 3: Cross multiply
    14,027.16x = 19,357.88 × 7,739.94
  4. Step 4: Simplify right side
    14,027.16x = 149,828,766.81
  5. Step 5: Solve for x
    x = 149,828,766.81/14,027.16
  6. Step 6: Final answer
    x = 10,681.34

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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.