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Finding the Fourth Proportional to 14,752, 22,128.96 and 6,544

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Solution

The fourth proportional to 14,752, 22,128.96 and 6,544 is: 9,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752 : 22,128.96 = 6,544 : x
  2. Step 2: Convert to fraction form
    14,752/22,128.96 = 6,544/x
  3. Step 3: Cross multiply
    14,752x = 22,128.96 × 6,544
  4. Step 4: Simplify right side
    14,752x = 144,811,914.24
  5. Step 5: Solve for x
    x = 144,811,914.24/14,752
  6. Step 6: Final answer
    x = 9,816.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.