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Finding the Fourth Proportional to 12,503.72, 17,255.50 and 6,838.80

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Solution

The fourth proportional to 12,503.72, 17,255.50 and 6,838.80 is: 9,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.72 : 17,255.50 = 6,838.80 : x
  2. Step 2: Convert to fraction form
    12,503.72/17,255.50 = 6,838.80/x
  3. Step 3: Cross multiply
    12,503.72x = 17,255.50 × 6,838.80
  4. Step 4: Simplify right side
    12,503.72x = 118,006,913.40
  5. Step 5: Solve for x
    x = 118,006,913.40/12,503.72
  6. Step 6: Final answer
    x = 9,437.74

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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.