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Finding the Fourth Proportional to 10,462, 14,424.76 and 8,216.88

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Solution

The fourth proportional to 10,462, 14,424.76 and 8,216.88 is: 11,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462 : 14,424.76 = 8,216.88 : x
  2. Step 2: Convert to fraction form
    10,462/14,424.76 = 8,216.88/x
  3. Step 3: Cross multiply
    10,462x = 14,424.76 × 8,216.88
  4. Step 4: Simplify right side
    10,462x = 118,526,521.95
  5. Step 5: Solve for x
    x = 118,526,521.95/10,462
  6. Step 6: Final answer
    x = 11,329.24

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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.