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Finding the Fourth Proportional to 10,762.26, 14,865.69 and 8,228.98

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Solution

The fourth proportional to 10,762.26, 14,865.69 and 8,228.98 is: 11,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.26 : 14,865.69 = 8,228.98 : x
  2. Step 2: Convert to fraction form
    10,762.26/14,865.69 = 8,228.98/x
  3. Step 3: Cross multiply
    10,762.26x = 14,865.69 × 8,228.98
  4. Step 4: Simplify right side
    10,762.26x = 122,329,465.70
  5. Step 5: Solve for x
    x = 122,329,465.70/10,762.26
  6. Step 6: Final answer
    x = 11,366.52

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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.