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Finding the Fourth Proportional to 14,323.99, 19,768.29 and 7,951.18

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Solution

The fourth proportional to 14,323.99, 19,768.29 and 7,951.18 is: 10,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.99 : 19,768.29 = 7,951.18 : x
  2. Step 2: Convert to fraction form
    14,323.99/19,768.29 = 7,951.18/x
  3. Step 3: Cross multiply
    14,323.99x = 19,768.29 × 7,951.18
  4. Step 4: Simplify right side
    14,323.99x = 157,181,133.24
  5. Step 5: Solve for x
    x = 157,181,133.24/14,323.99
  6. Step 6: Final answer
    x = 10,973.28

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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.