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Finding the Fourth Proportional to 10,737.69, 14,819.63 and 6,548.37

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Solution

The fourth proportional to 10,737.69, 14,819.63 and 6,548.37 is: 9,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.69 : 14,819.63 = 6,548.37 : x
  2. Step 2: Convert to fraction form
    10,737.69/14,819.63 = 6,548.37/x
  3. Step 3: Cross multiply
    10,737.69x = 14,819.63 × 6,548.37
  4. Step 4: Simplify right side
    10,737.69x = 97,044,375.27
  5. Step 5: Solve for x
    x = 97,044,375.27/10,737.69
  6. Step 6: Final answer
    x = 9,037.74

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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.