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Finding the Fourth Proportional to 14,644.00, 20,208.75 and 7,929.69

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Solution

The fourth proportional to 14,644.00, 20,208.75 and 7,929.69 is: 10,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.00 : 20,208.75 = 7,929.69 : x
  2. Step 2: Convert to fraction form
    14,644.00/20,208.75 = 7,929.69/x
  3. Step 3: Cross multiply
    14,644.00x = 20,208.75 × 7,929.69
  4. Step 4: Simplify right side
    14,644.00x = 160,249,017.27
  5. Step 5: Solve for x
    x = 160,249,017.27/14,644.00
  6. Step 6: Final answer
    x = 10,942.98

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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.