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Finding the Fourth Proportional to 14,897.52, 22,349.52 and 4,509

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Solution

The fourth proportional to 14,897.52, 22,349.52 and 4,509 is: 6,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.52 : 22,349.52 = 4,509 : x
  2. Step 2: Convert to fraction form
    14,897.52/22,349.52 = 4,509/x
  3. Step 3: Cross multiply
    14,897.52x = 22,349.52 × 4,509
  4. Step 4: Simplify right side
    14,897.52x = 100,773,985.68
  5. Step 5: Solve for x
    x = 100,773,985.68/14,897.52
  6. Step 6: Final answer
    x = 6,764.48

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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.