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Finding the Fourth Proportional to 14,858.52, 22,287.24 and 4,470

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Solution

The fourth proportional to 14,858.52, 22,287.24 and 4,470 is: 6,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858.52 : 22,287.24 = 4,470 : x
  2. Step 2: Convert to fraction form
    14,858.52/22,287.24 = 4,470/x
  3. Step 3: Cross multiply
    14,858.52x = 22,287.24 × 4,470
  4. Step 4: Simplify right side
    14,858.52x = 99,623,962.80
  5. Step 5: Solve for x
    x = 99,623,962.80/14,858.52
  6. Step 6: Final answer
    x = 6,704.84

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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.