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Finding the Fourth Proportional to 14,224.71, 21,326.53 and 6,822.12

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Solution

The fourth proportional to 14,224.71, 21,326.53 and 6,822.12 is: 10,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.71 : 21,326.53 = 6,822.12 : x
  2. Step 2: Convert to fraction form
    14,224.71/21,326.53 = 6,822.12/x
  3. Step 3: Cross multiply
    14,224.71x = 21,326.53 × 6,822.12
  4. Step 4: Simplify right side
    14,224.71x = 145,492,146.84
  5. Step 5: Solve for x
    x = 145,492,146.84/14,224.71
  6. Step 6: Final answer
    x = 10,228.13

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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.