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Finding the Fourth Proportional to 14,617.60, 21,929.63 and 6,822.16

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Solution

The fourth proportional to 14,617.60, 21,929.63 and 6,822.16 is: 10,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.60 : 21,929.63 = 6,822.16 : x
  2. Step 2: Convert to fraction form
    14,617.60/21,929.63 = 6,822.16/x
  3. Step 3: Cross multiply
    14,617.60x = 21,929.63 × 6,822.16
  4. Step 4: Simplify right side
    14,617.60x = 149,607,355.67
  5. Step 5: Solve for x
    x = 149,607,355.67/14,617.60
  6. Step 6: Final answer
    x = 10,234.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.