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Finding the Fourth Proportional to 14,406.12, 19,880.46 and 7,782.12

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Solution

The fourth proportional to 14,406.12, 19,880.46 and 7,782.12 is: 10,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.12 : 19,880.46 = 7,782.12 : x
  2. Step 2: Convert to fraction form
    14,406.12/19,880.46 = 7,782.12/x
  3. Step 3: Cross multiply
    14,406.12x = 19,880.46 × 7,782.12
  4. Step 4: Simplify right side
    14,406.12x = 154,712,125.38
  5. Step 5: Solve for x
    x = 154,712,125.38/14,406.12
  6. Step 6: Final answer
    x = 10,739.33

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Half scale
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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.