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Finding the Fourth Proportional to 12,701.50, 17,528.07 and 7,733.50

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Solution

The fourth proportional to 12,701.50, 17,528.07 and 7,733.50 is: 10,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.50 : 17,528.07 = 7,733.50 : x
  2. Step 2: Convert to fraction form
    12,701.50/17,528.07 = 7,733.50/x
  3. Step 3: Cross multiply
    12,701.50x = 17,528.07 × 7,733.50
  4. Step 4: Simplify right side
    12,701.50x = 135,553,329.35
  5. Step 5: Solve for x
    x = 135,553,329.35/12,701.50
  6. Step 6: Final answer
    x = 10,672.23

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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.