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Finding the Fourth Proportional to 14,051.99, 19,391.80 and 7,678.48

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Solution

The fourth proportional to 14,051.99, 19,391.80 and 7,678.48 is: 10,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.99 : 19,391.80 = 7,678.48 : x
  2. Step 2: Convert to fraction form
    14,051.99/19,391.80 = 7,678.48/x
  3. Step 3: Cross multiply
    14,051.99x = 19,391.80 × 7,678.48
  4. Step 4: Simplify right side
    14,051.99x = 148,899,485.24
  5. Step 5: Solve for x
    x = 148,899,485.24/14,051.99
  6. Step 6: Final answer
    x = 10,596.33

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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.